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157321851904 = 2107128917027
BaseRepresentation
bin1001001010000100011…
…1001111010000000000
3120001002000211010110201
42102201013033100000
510034143343230104
6200134521134544
714236403451160
oct2224107172000
9501060733421
10157321851904
11607a10a1928
12265a692a454
1311ab24644c9
147885d6c5a0
15415b7c20a4
hex24a11cf400

157321851904 has 88 divisors (see below), whose sum is σ = 359717181120. Its totient is φ = 67367387136.

The previous prime is 157321851881. The next prime is 157321851923. The reversal of 157321851904 is 409158123751.

It is a hoax number, since the sum of its digits (46) 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9231039 + ... + 9248065.

It is an arithmetic number, because the mean of its divisors is an integer number (4087695240).

Almost surely, 2157321851904 is an apocalyptic number.

157321851904 is a gapful number since it is divisible by the number (14) 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 157321851904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179858590560).

157321851904 is an abundant number, since it is smaller than the sum of its proper divisors (202395329216).

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

157321851904 is a wasteful number, since it uses less digits than its factorization.

157321851904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18343 (or 18325 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 157321851904 in words is "one hundred fifty-seven billion, three hundred twenty-one million, eight hundred fifty-one thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1289 1792 2578 3584 5156 7168 9023 10312 17027 18046 20624 34054 36092 41248 68108 72184 82496 119189 136216 144368 164992 238378 272432 288736 329984 476756 544864 577472 659968 953512 1089728 1154944 1319936 1907024 2179456 2309888 3814048 4358912 4619776 7628096 8717824 9239552 15256192 17435648 21947803 30512384 43895606 61024768 87791212 122049536 153634621 175582424 307269242 351164848 614538484 702329696 1229076968 1404659392 2458153936 2809318784 4916307872 5618637568 9832615744 11237275136 19665231488 22474550272 39330462976 78660925952 157321851904