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97632014634 = 237711219273
BaseRepresentation
bin101101011101101010…
…0100101000100101010
3100100000010212020000000
41122323110211010222
53044422243432014
6112503532523430
710024261301040
oct1327324450452
9310003766000
1097632014634
11384507aa700
1216b08920576
13928c052a7b
144a22776390
1528163d9509
hex16bb52512a

97632014634 has 576 divisors, whose sum is σ = 295184413440. Its totient is φ = 23695182720.

The previous prime is 97632014603. The next prime is 97632014741. The reversal of 97632014634 is 43641023679.

97632014634 is a `hidden beast` number, since 9 + 7 + 6 + 3 + 2 + 0 + 1 + 4 + 634 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 97632014634.

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, 1337424822 + ... + 1337424894.

It is an arithmetic number, because the mean of its divisors is an integer number (512472940).

Almost surely, 297632014634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97632014634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147592206720).

97632014634 is an abundant number, since it is smaller than the sum of its proper divisors (197552398806).

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

97632014634 is a wasteful number, since it uses less digits than its factorization.

97632014634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 97632014634 in words is "ninety-seven billion, six hundred thirty-two million, fourteen thousand, six hundred thirty-four".