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157411101936 = 24311298127087
BaseRepresentation
bin1001001010011001101…
…1101100110011110000
3120001022020202111111110
42102212123230303300
510034334220230221
6200151430113320
714241536201304
oct2224633546360
9501266674443
10157411101936
1160837510790
12266107ab840
1311ac7ab2c8a
147893b61d04
154164551776
hex24a66eccf0

157411101936 has 40 divisors (see below), whose sum is σ = 443613106944. Its totient is φ = 47700333760.

The previous prime is 157411101917. The next prime is 157411101971. The reversal of 157411101936 is 639101114751.

157411101936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 157411101894 and 157411101903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149063016 + ... + 149064071.

Almost surely, 2157411101936 is an apocalyptic number.

157411101936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

157411101936 is an abundant number, since it is smaller than the sum of its proper divisors (286202005008).

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

157411101936 is a wasteful number, since it uses less digits than its factorization.

157411101936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298127109 (or 298127103 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

The spelling of 157411101936 in words is "one hundred fifty-seven billion, four hundred eleven million, one hundred one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 298127087 596254174 894381261 1192508348 1788762522 2385016696 3279397957 3577525044 4770033392 6558795914 7155050088 9838193871 13117591828 14310100176 19676387742 26235183656 39352775484 52470367312 78705550968 157411101936