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351400100436164 = 2213311791217821993
BaseRepresentation
bin100111111100110001011011…
…0001010010001100011000100
31201002012112002012002022222202
41033321202312022101203010
5332024314401202424124
63243210551053014032
7134005551033441113
oct11771426612214304
91632175065068882
10351400100436164
11a1a6aa44794a9a
12334b383a784318
131210cb6c498b30
1462abbd9b11c7a
152a95aca36c5ae
hex13f98b62918c4

351400100436164 has 48 divisors (see below), whose sum is σ = 687436159173120. Its totient is φ = 156076066494720.

The previous prime is 351400100436157. The next prime is 351400100436169. The reversal of 351400100436164 is 461634001004153.

It is a super-2 number, since 2×3514001004361642 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (351400100436169) 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 15 ways as a sum of consecutive naturals, for example, 608622449 + ... + 609199544.

It is an arithmetic number, because the mean of its divisors is an integer number (14321586649440).

Almost surely, 2351400100436164 is an apocalyptic number.

It is an amenable number.

351400100436164 is a deficient number, since it is larger than the sum of its proper divisors (336036058736956).

351400100436164 is a wasteful number, since it uses less digits than its factorization.

351400100436164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217822220 (or 1217822218 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 351400100436164 in words is "three hundred fifty-one trillion, four hundred billion, one hundred million, four hundred thirty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 13 26 31 52 62 124 179 358 403 716 806 1612 2327 4654 5549 9308 11098 22196 72137 144274 288548 1217821993 2435643986 4871287972 15831685909 31663371818 37752481783 63326743636 75504963566 151009927132 217990136747 435980273494 490782263179 871960546988 981564526358 1963129052716 2833871777711 5667743555422 6757694239157 11335487110844 13515388478314 27030776956628 87850025109041 175700050218082 351400100436164