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157828220176 = 2411290292
BaseRepresentation
bin1001001011111101001…
…0111000010100010000
3120002101022122022011011
42102333102320110100
510041213011021201
6200301050300304
714255062510414
oct2227722702420
9502338568134
10157828220176
1160a30a08900
1226708427694
1311b633390c3
1478d3300d44
15418ae97151
hex24bf4b8510

157828220176 has 45 divisors (see below), whose sum is σ = 336155904133. Its totient is φ = 71732154560.

The previous prime is 157828220171. The next prime is 157828220183. The reversal of 157828220176 is 671022828751.

It is a happy number.

The square root of 157828220176 is 397276.

It is a perfect power (a square), and thus also a powerful number.

157828220176 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 157548661776 + 279558400 = 396924^2 + 16720^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157828220171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17475630 + ... + 17484658.

Almost surely, 2157828220176 is an apocalyptic number.

157828220176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

157828220176 is the 397276-th square number.

It is an amenable number.

157828220176 is an abundant number, since it is smaller than the sum of its proper divisors (178327683957).

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

157828220176 is an frugal number, since it uses more digits than its factorization.

157828220176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18088 (or 9042 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 49.

Multiplying 157828220176 by its sum of digits (49), we get a square (7733582788624 = 27809322).

The spelling of 157828220176 in words is "one hundred fifty-seven billion, eight hundred twenty-eight million, two hundred twenty thousand, one hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 9029 18058 36116 72232 99319 144464 198638 397276 794552 1092509 1589104 2185018 4370036 8740072 17480144 81522841 163045682 326091364 652182728 896751251 1304365456 1793502502 3587005004 7174010008 9864263761 14348020016 19728527522 39457055044 78914110088 157828220176