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97153499520 = 2735572111961
BaseRepresentation
bin101101001111011001…
…1001100000110000000
3100021202210110010200000
41122132303030012000
53042432243441040
6112344240400000
710006361056200
oct1323663140600
9307683403600
1097153499520
1138225688170
12169b4616000
139213b80c2c
1449b8db4400
1527d93b7130
hex169eccc180

97153499520 has 2304 divisors, whose sum is σ = 472357267200. Its totient is φ = 18811699200.

The previous prime is 97153499473. The next prime is 97153499549. The reversal of 97153499520 is 2599435179.

97153499520 is a `hidden beast` number, since 9 + 71 + 5 + 3 + 49 + 9 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1592680290 + ... + 1592680350.

It is an arithmetic number, because the mean of its divisors is an integer number (205016175).

Almost surely, 297153499520 is an apocalyptic number.

97153499520 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 97153499520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236178633600).

97153499520 is an abundant number, since it is smaller than the sum of its proper divisors (375203767680).

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

97153499520 is a wasteful number, since it uses less digits than its factorization.

97153499520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 97153499520 in words is "ninety-seven billion, one hundred fifty-three million, four hundred ninety-nine thousand, five hundred twenty".