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96157613376 = 26331131533079
BaseRepresentation
bin101100110001101110…
…0001011110101000000
3100012012101111212201000
41121203130023311000
53033412322112001
6112101343212000
76642606141066
oct1314334136500
9305171455630
1096157613376
1137864514170
1216776ba7000
1390b57543a6
144922a18036
15277bc49a86
hex166370bd40

96157613376 has 448 divisors, whose sum is σ = 324443750400. Its totient is φ = 27657676800.

The previous prime is 96157613371. The next prime is 96157613389. The reversal of 96157613376 is 67331675169.

96157613376 is a `hidden beast` number, since 9 + 6 + 15 + 7 + 613 + 3 + 7 + 6 = 666.

It is a super-2 number, since 2×961576133762 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96157613371) 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 63 ways as a sum of consecutive naturals, for example, 31228605 + ... + 31231683.

It is an arithmetic number, because the mean of its divisors is an integer number (724204800).

Almost surely, 296157613376 is an apocalyptic number.

96157613376 is a gapful number since it is divisible by the number (96) 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 96157613376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162221875200).

96157613376 is an abundant number, since it is smaller than the sum of its proper divisors (228286137024).

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

96157613376 is a wasteful number, since it uses less digits than its factorization.

96157613376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195 (or 3179 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 54.

The spelling of 96157613376 in words is "ninety-six billion, one hundred fifty-seven million, six hundred thirteen thousand, three hundred seventy-six".