Search a number
-
+
670321202123076 = 223724878872639083
BaseRepresentation
bin1001100001101001110101000…
…1001000110101000101000100
310020220102002012002222102100120
42120122131101020311011010
51200330020310220414301
610333353150432141540
7261123052164022500
oct23032352110650504
93226362162872316
10670321202123076
111846486973a7229
12632208a63978b0
1322a05030aa578a
14bb75a0da41300
1552768d58e7e36
hex261a751235144

670321202123076 has 144 divisors (see below), whose sum is σ = 1825235422166016. Its totient is φ = 190911529682496.

The previous prime is 670321202123071. The next prime is 670321202123081.

670321202123076 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (670321202123071) and next prime (670321202123081).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (670321202123071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252678231 + ... + 255317313.

It is an arithmetic number, because the mean of its divisors is an integer number (12675245987264).

Almost surely, 2670321202123076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 670321202123076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912617711083008).

670321202123076 is an abundant number, since it is smaller than the sum of its proper divisors (1154914220042940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

670321202123076 is a wasteful number, since it uses less digits than its factorization.

670321202123076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640478 (or 2640469 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

It can be divided in two parts, 67032120 and 2123076, that added together give a palindrome (69155196).

The spelling of 670321202123076 in words is "six hundred seventy trillion, three hundred twenty-one billion, two hundred two million, one hundred twenty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 487 588 887 974 1461 1774 1948 2661 2922 3409 3548 5322 5844 6209 6818 10227 10644 12418 13636 18627 20454 23863 24836 37254 40908 43463 47726 71589 74508 86926 95452 130389 143178 173852 260778 286356 431969 521556 863938 1295907 1727876 2591814 2639083 3023783 5183628 5278166 6047566 7917249 9071349 10556332 12095132 15834498 18142698 18473581 21166481 31668996 36285396 36947162 42332962 55420743 63499443 73894324 84665924 110841486 126998886 129315067 221682972 253997772 258630134 387945201 517260268 775890402 1285233421 1551780804 2340866621 2570466842 3855700263 4681733242 5140933684 7022599863 7711400526 8996633947 9363466484 14045199726 15422801052 16386066347 17993267894 26989901841 28090399452 32772132694 35986535788 49158199041 53979803682 62976437629 65544265388 98316398082 107959607364 114702464429 125952875258 188929312887 196632796164 229404928858 251905750516 344107393287 377858625774 458809857716 688214786574 755717251548 1140002044427 1376429573148 2280004088854 3420006133281 4560008177708 6840012266562 7980014310989 13680024533124 15960028621978 23940042932967 31920057243956 47880085865934 55860100176923 95760171731868 111720200353846 167580300530769 223440400707692 335160601061538 670321202123076