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3885400832796 = 223475273324889
BaseRepresentation
bin111000100010100011111…
…011111011101100011100
3111202102220021010211020000
4320202203323323230130
51002124300103122141
612132532320054300
7550465566105660
oct70424373735434
914672807124200
103885400832796
11126887552912a
12529024a64390
13222512813622
14d60a93d88a0
156b1052365b6
hex388a3efbb1c

3885400832796 has 120 divisors (see below), whose sum is σ = 11610471771360. Its totient is φ = 1109900579328.

The previous prime is 3885400832791. The next prime is 3885400832809. The reversal of 3885400832796 is 6972380045883.

3885400832796 is a `hidden beast` number, since 3 + 8 + 8 + 540 + 0 + 83 + 2 + 7 + 9 + 6 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3885400832791) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11796720 + ... + 12121608.

It is an arithmetic number, because the mean of its divisors is an integer number (96753931428).

Almost surely, 23885400832796 is an apocalyptic number.

3885400832796 is a gapful number since it is divisible by the number (36) 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 3885400832796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805235885680).

3885400832796 is an abundant number, since it is smaller than the sum of its proper divisors (7725070938564).

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

3885400832796 is a wasteful number, since it uses less digits than its factorization.

3885400832796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330185 (or 330174 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 3885400832796 in words is "three trillion, eight hundred eighty-five billion, four hundred million, eight hundred thirty-two thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 5273 10546 15819 21092 31638 36911 47457 63276 73822 94914 110733 142371 147644 189828 221466 284742 324889 332199 427113 442932 569484 649778 664398 854226 974667 996597 1299556 1328796 1708452 1949334 1993194 2274223 2924001 2989791 3898668 3986388 4548446 5848002 5979582 6822669 8772003 9096892 11696004 11959164 13645338 17544006 20468007 26316009 27290676 35088012 40936014 52632018 61404021 81872028 105264036 122808042 184212063 245616084 368424126 736848252 1713139697 3426279394 5139419091 6852558788 10278838182 11991977879 15418257273 20557676364 23983955758 30836514546 35975933637 46254771819 47967911516 61673029092 71951867274 92509543638 107927800911 138764315457 143903734548 185019087276 215855601822 277528630914 323783402733 431711203644 555057261828 647566805466 971350208199 1295133610932 1942700416398 3885400832796