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157136413104 = 24331133067427
BaseRepresentation
bin1001001001011000001…
…1110110000110110000
3120000121002212212021000
42102112003312012300
510033303410204404
6200104254402000
714231662321236
oct2222603660660
9500532785230
10157136413104
1160706454a20
1226554800300
1311a82c07bc8
14786949a956
15414a392339
hex24960f61b0

157136413104 has 80 divisors (see below), whose sum is σ = 492043328640. Its totient is φ = 47617093440.

The previous prime is 157136413097. The next prime is 157136413129. The reversal of 157136413104 is 401314631751.

157136413104 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 3 + 641 + 3 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16528962 + ... + 16538465.

It is an arithmetic number, because the mean of its divisors is an integer number (6150541608).

Almost surely, 2157136413104 is an apocalyptic number.

It is an amenable number.

157136413104 is an abundant number, since it is smaller than the sum of its proper divisors (334906915536).

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

157136413104 is a wasteful number, since it uses less digits than its factorization.

157136413104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33067455 (or 33067443 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 157136413104 in words is "one hundred fifty-seven billion, one hundred thirty-six million, four hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 33067427 66134854 99202281 132269708 198404562 264539416 297606843 363741697 396809124 529078832 595213686 727483394 793618248 892820529 1091225091 1190427372 1454966788 1587236496 1785641058 2182450182 2380854744 2909933576 3273675273 3571282116 4364900364 4761709488 5819867152 6547350546 7142564232 8729800728 9821025819 13094701092 14285128464 17459601456 19642051638 26189402184 39284103276 52378804368 78568206552 157136413104