Search a number
-
+
389463802056 = 233276711533517
BaseRepresentation
bin1011010101011011101…
…10100000000011001000
31101020021101212001120100
411222231312200003020
522340110213131211
6454530040525400
740065163460520
oct5525566400310
91336241761510
10389463802056
1114019718799a
1263592780860
132a9598339a4
1414bc8b44680
15a1e6922156
hex5aadda00c8

389463802056 has 96 divisors (see below), whose sum is σ = 1223475589440. Its totient is φ = 109614536064.

The previous prime is 389463802051. The next prime is 389463802061. The reversal of 389463802056 is 650208364983.

389463802056 is a `hidden beast` number, since 3 + 89 + 463 + 80 + 20 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (389463802051) and next prime (389463802061).

It is a super-2 number, since 2×3894638020562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 389463801993 and 389463802011.

It is not an unprimeable number, because it can be changed into a prime (389463802051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5732991 + ... + 5800526.

It is an arithmetic number, because the mean of its divisors is an integer number (12744537390).

Almost surely, 2389463802056 is an apocalyptic number.

389463802056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

389463802056 is an abundant number, since it is smaller than the sum of its proper divisors (834011787384).

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

389463802056 is a wasteful number, since it uses less digits than its factorization.

389463802056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11533603 (or 11533596 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 389463802056 in words is "three hundred eighty-nine billion, four hundred sixty-three million, eight hundred two thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 67 72 84 126 134 168 201 252 268 402 469 504 536 603 804 938 1206 1407 1608 1876 2412 2814 3752 4221 4824 5628 8442 11256 16884 33768 11533517 23067034 34600551 46134068 69201102 80734619 92268136 103801653 138402204 161469238 207603306 242203857 276804408 322938476 415206612 484407714 645876952 726611571 772745639 830413224 968815428 1453223142 1545491278 1937630856 2318236917 2906446284 3090982556 4636473834 5409219473 5812892568 6181965112 6954710751 9272947668 10818438946 13909421502 16227658419 18545895336 21636877892 27818843004 32455316838 43273755784 48682975257 55637686008 64910633676 97365950514 129821267352 194731901028 389463802056