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97424512560 = 2435517217341
BaseRepresentation
bin101101010111011110…
…1000001011000110000
3100022110200102000200000
41122232331001120300
53044011133400220
6112431201230000
710016161456524
oct1325675013060
9308420360600
1097424512560
1138354663291
1216a6b332300
13925806cb8b
144a02d9dd84
15280309c390
hex16aef41630

97424512560 has 360 divisors, whose sum is σ = 360455689776. Its totient is φ = 24450232320.

The previous prime is 97424512547. The next prime is 97424512571. The reversal of 97424512560 is 6521542479.

97424512560 is a `hidden beast` number, since 9 + 7 + 42 + 45 + 1 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5609490 + ... + 5626830.

Almost surely, 297424512560 is an apocalyptic number.

97424512560 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 97424512560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180227844888).

97424512560 is an abundant number, since it is smaller than the sum of its proper divisors (263031177216).

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

97424512560 is a wasteful number, since it uses less digits than its factorization.

97424512560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17403 (or 17368 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 97424512560 in words is "ninety-seven billion, four hundred twenty-four million, five hundred twelve thousand, five hundred sixty".