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97124805120 = 293572614231
BaseRepresentation
bin101101001110100010…
…1101110101000000000
3100021200210110022100110
41122131011232220000
53042402422230440
6112341333351320
710005562136100
oct1323505565000
9307623408313
1097124805120
1138210469692
12169a6a98540
13920ac452b5
1449b5265200
1527d6aea080
hex169d16ea00

97124805120 has 480 divisors, whose sum is σ = 367196962176. Its totient is φ = 21830860800.

The previous prime is 97124805101. The next prime is 97124805137. The reversal of 97124805120 is 2150842179.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22953405 + ... + 22957635.

Almost surely, 297124805120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97124805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183598481088).

97124805120 is an abundant number, since it is smaller than the sum of its proper divisors (270072157056).

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

97124805120 is a wasteful number, since it uses less digits than its factorization.

97124805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 97124805120 in words is "ninety-seven billion, one hundred twenty-four million, eight hundred five thousand, one hundred twenty".