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157357134016 = 2647373140249
BaseRepresentation
bin1001001010001100110…
…1110101000011000000
3120001011111012122102121
42102203031311003000
510034231411242031
6200142221254024
714240312366365
oct2224315650300
9501144178377
10157357134016
1160809aaa8a5
12265b6704314
1311ab98687b4
14788a91446c
15415e941011
hex24a33750c0

157357134016 has 56 divisors (see below), whose sum is σ = 319756536000. Its totient is φ = 76797560832.

The previous prime is 157357134013. The next prime is 157357134043. The reversal of 157357134016 is 610431753751.

It is a super-2 number, since 2×1573571340162 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (157357134013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1051860 + ... + 1192108.

Almost surely, 2157357134016 is an apocalyptic number.

157357134016 is a gapful number since it is divisible by the number (16) 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 157357134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159878268000).

157357134016 is an abundant number, since it is smaller than the sum of its proper divisors (162399401984).

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

157357134016 is a wasteful number, since it uses less digits than its factorization.

157357134016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140681 (or 140671 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 43.

Adding to 157357134016 its reverse (610431753751), we get a palindrome (767788887767).

The spelling of 157357134016 in words is "one hundred fifty-seven billion, three hundred fifty-seven million, one hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 47 64 94 188 373 376 746 752 1492 1504 2984 3008 5968 11936 17531 23872 35062 70124 140248 140249 280496 280498 560992 560996 1121984 1121992 2243984 4487968 6591703 8975936 13183406 26366812 52312877 52733624 104625754 105467248 209251508 210934496 418503016 421868992 837006032 1674012064 2458705219 3348024128 4917410438 9834820876 19669641752 39339283504 78678567008 157357134016