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355138327008 = 25321772536423
BaseRepresentation
bin1010010101011111110…
…01001101000111100000
31020221200012102020220200
411022233321031013200
521304310402431013
6431052010505200
734441441654323
oct5125771150740
91227605366820
10355138327008
111276823664a3
12589b3135200
132764929cbca
14132900607ba
1593881d0e73
hex52afe4d1e0

355138327008 has 72 divisors (see below), whose sum is σ = 1069331962608. Its totient is φ = 111415944192.

The previous prime is 355138326973. The next prime is 355138327039. The reversal of 355138327008 is 800723831553.

355138327008 is a `hidden beast` number, since 35 + 513 + 8 + 32 + 70 + 0 + 8 = 666.

355138327008 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3551383270082 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36263316 + ... + 36273107.

It is an arithmetic number, because the mean of its divisors is an integer number (14851832814).

Almost surely, 2355138327008 is an apocalyptic number.

It is an amenable number.

355138327008 is an abundant number, since it is smaller than the sum of its proper divisors (714193635600).

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

355138327008 is a wasteful number, since it uses less digits than its factorization.

355138327008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72536456 (or 72536445 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 355138327008 in words is "three hundred fifty-five billion, one hundred thirty-eight million, three hundred twenty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 72536423 145072846 217609269 290145692 435218538 580291384 652827807 870437076 1160582768 1233119191 1305655614 1740874152 2321165536 2466238382 2611311228 3481748304 3699357573 4932476764 5222622456 6963496608 7398715146 9864953528 10445244912 11098072719 14797430292 19729907056 20890489824 22196145438 29594860584 39459814112 44392290876 59189721168 88784581752 118379442336 177569163504 355138327008