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91357197120 = 26325741110527
BaseRepresentation
bin101010100010101010…
…0000011001101000000
322201210211200110120100
41111011110003031000
52444044420301440
6105545141442400
76412626235320
oct1250524031500
9281724613510
1091357197120
1135820835402
1215857410400
1387cc0654b7
1445c926b280
15259a5b9230
hex1545503340

91357197120 has 336 divisors, whose sum is σ = 367883163648. Its totient is φ = 20372152320.

The previous prime is 91357197101. The next prime is 91357197131. The reversal of 91357197120 is 2179175319.

It is a happy number.

91357197120 is a `hidden beast` number, since 9 + 1 + 3 + 571 + 9 + 71 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×913571971202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 771297 + ... + 881823.

It is an arithmetic number, because the mean of its divisors is an integer number (1094890368).

Almost surely, 291357197120 is an apocalyptic number.

91357197120 is a gapful number since it is divisible by the number (90) 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 91357197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183941581824).

91357197120 is an abundant number, since it is smaller than the sum of its proper divisors (276525966528).

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

91357197120 is a wasteful number, since it uses less digits than its factorization.

91357197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110598 (or 110585 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The spelling of 91357197120 in words is "ninety-one billion, three hundred fifty-seven million, one hundred ninety-seven thousand, one hundred twenty".