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157416643008 = 2632273292783
BaseRepresentation
bin1001001010011011000…
…0110101100111000000
3120001022122012000102100
42102212300311213000
510034342130034013
6200152144550400
714241634250112
oct2224660654700
9501278160370
10157416643008
116083a655889
1226612622400
1311ac8ca3111
1478947a53b2
154164c98473
hex24a6c359c0

157416643008 has 42 divisors (see below), whose sum is σ = 451206386384. Its totient is φ = 52472214144.

The previous prime is 157416643003. The next prime is 157416643039. The reversal of 157416643008 is 800346614751.

157416643008 is a `hidden beast` number, since 1 + 57 + 4 + 166 + 430 + 0 + 8 = 666.

It is a super-3 number, since 3×1574166430083 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157416643003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 136645816 + ... + 136646967.

Almost surely, 2157416643008 is an apocalyptic number.

157416643008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

157416643008 is an abundant number, since it is smaller than the sum of its proper divisors (293789743376).

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

157416643008 is a wasteful number, since it uses less digits than its factorization.

157416643008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273292801 (or 273292788 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 157416643008 in words is "one hundred fifty-seven billion, four hundred sixteen million, six hundred forty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 273292783 546585566 819878349 1093171132 1639756698 2186342264 2459635047 3279513396 4372684528 4919270094 6559026792 8745369056 9838540188 13118053584 17490738112 19677080376 26236107168 39354160752 52472214336 78708321504 157416643008