Search a number
-
+
670149695688 = 2331167193196307
BaseRepresentation
bin10011100000010000000…
…10001101100011001000
32101001202212212211020120
421300020002031203020
541434431310230223
61231510145423240
766262635266154
oct11601002154310
92331685784216
10670149695688
1123923303a210
12a9a6793ab20
134b26c0c8395
1424614b06064
151267369cbe3
hex9c0808d8c8

670149695688 has 128 divisors (see below), whose sum is σ = 1864580497920. Its totient is φ = 199007170560.

The previous prime is 670149695687. The next prime is 670149695707. The reversal of 670149695688 is 886596941076.

It is a super-2 number, since 2×6701496956882 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (670149695681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3315631 + ... + 3511937.

It is an arithmetic number, because the mean of its divisors is an integer number (14567035140).

Almost surely, 2670149695688 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 670149695688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932290248960).

670149695688 is an abundant number, since it is smaller than the sum of its proper divisors (1194430802232).

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

670149695688 is a wasteful number, since it uses less digits than its factorization.

670149695688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196587 (or 196583 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 69.

The spelling of 670149695688 in words is "six hundred seventy billion, one hundred forty-nine million, six hundred ninety-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 193 201 264 268 386 402 536 579 737 772 804 1158 1474 1544 1608 2123 2211 2316 2948 4246 4422 4632 5896 6369 8492 8844 12738 12931 16984 17688 25476 25862 38793 50952 51724 77586 103448 142241 155172 196307 284482 310344 392614 426723 568964 588921 785228 853446 1137928 1177842 1570456 1706892 2159377 2355684 3413784 4318754 4711368 6478131 8637508 12956262 13152569 17275016 25912524 26305138 37887251 39457707 51825048 52610276 75774502 78915414 105220552 113661753 144678259 151549004 157830828 227323506 289356518 303098008 315661656 416759761 434034777 454647012 578713036 833519522 868069554 909294024 1157426072 1250279283 1667039044 1736139108 2500558566 2538445817 3334078088 3472278216 5001117132 5076891634 7615337451 10002234264 10153783268 15230674902 20307566536 27922903987 30461349804 55845807974 60922699608 83768711961 111691615948 167537423922 223383231896 335074847844 670149695688