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3074758683828 = 22313194332395769
BaseRepresentation
bin101100101111100101111…
…001100010110010110100
3101212221111012220220022220
4230233211321202302310
5400334101210340303
610312305153322340
7435100246404366
oct54574571426264
911787435826286
103074758683828
11a85aa81333a7
12417aaa5663b0
13193c43b141b0
14a8b67914d36
1554eac9e0053
hex2cbe5e62cb4

3074758683828 has 96 divisors (see below), whose sum is σ = 8151751171200. Its totient is φ = 894215614464.

The previous prime is 3074758683827. The next prime is 3074758683851. The reversal of 3074758683828 is 8283868574703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3074758683823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85528 + ... + 2481296.

It is an arithmetic number, because the mean of its divisors is an integer number (84914074700).

Almost surely, 23074758683828 is an apocalyptic number.

3074758683828 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3074758683828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075875585600).

3074758683828 is an abundant number, since it is smaller than the sum of its proper divisors (5076992487372).

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

3074758683828 is a wasteful number, since it uses less digits than its factorization.

3074758683828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396241 (or 2396239 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 69.

The spelling of 3074758683828 in words is "three trillion, seventy-four billion, seven hundred fifty-eight million, six hundred eighty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 433 494 741 866 988 1299 1482 1732 2598 2964 5196 5629 8227 11258 16454 16887 22516 24681 32908 33774 49362 67548 98724 106951 213902 320853 427804 641706 1283412 2395769 4791538 7187307 9583076 14374614 28749228 31144997 45519611 62289994 91039222 93434991 124579988 136558833 182078444 186869982 273117666 373739964 546235332 591754943 1037367977 1183509886 1775264829 2074735954 2367019772 3112103931 3550529658 4149471908 6224207862 7101059316 12448415724 13485783701 19709991563 26971567402 39419983126 40457351103 53943134804 59129974689 78839966252 80914702206 118259949378 161829404412 236519898756 256229890319 512459780638 768689670957 1024919561276 1537379341914 3074758683828