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3806481831256 = 2313614639129341
BaseRepresentation
bin110111011001000011111…
…111110101010101011000
3111110220012021010011100001
4313121003333311111120
5444331133322100011
612032401300022344
7542003111500246
oct67310377652530
914426167104301
103806481831256
111238357839205
1251587b0919b4
13217c46638690
14d2340053796
1569036ae87c1
hex37643ff5558

3806481831256 has 64 divisors (see below), whose sum is σ = 7813912377600. Its totient is φ = 1727651289600.

The previous prime is 3806481831253. The next prime is 3806481831259. The reversal of 3806481831256 is 6521381846083.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3806481831253) and next prime (3806481831259).

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3806481831197 and 3806481831206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3806481831253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29365146 + ... + 29494486.

It is an arithmetic number, because the mean of its divisors is an integer number (122092380900).

Almost surely, 23806481831256 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 3806481831256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906956188800).

3806481831256 is an abundant number, since it is smaller than the sum of its proper divisors (4007430546344).

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

3806481831256 is a wasteful number, since it uses less digits than its factorization.

3806481831256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134060 (or 134056 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 55.

The spelling of 3806481831256 in words is "three trillion, eight hundred six billion, four hundred eighty-one million, eight hundred thirty-one thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 488 793 1586 3172 4639 6344 9278 18556 37112 60307 120614 129341 241228 258682 282979 482456 517364 565958 1034728 1131916 1681433 2263832 3362866 3678727 6725732 7357454 7889801 13451464 14714908 15779602 29429816 31559204 63118408 102567413 205134826 410269652 600012899 820539304 1200025798 2400051596 4800103192 7800167687 15600335374 31200670748 36600786839 62401341496 73201573678 146403147356 292806294712 475810228907 951620457814 1903240915628 3806481831256