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96634962432 = 2932611272707
BaseRepresentation
bin101100111111111100…
…1001000001000000000
3100020102122201201111200
41121333321020020000
53040402022244212
6112220554341200
76660463425231
oct1317771101000
9306378651450
1096634962432
1137a89a0a618
121688aa2a800
139160608558
14496a195088
1527a8adb6dc
hex167fe48200

96634962432 has 240 divisors, whose sum is σ = 285804659712. Its totient is φ = 31422504960.

The previous prime is 96634962419. The next prime is 96634962451. The reversal of 96634962432 is 23426943669.

96634962432 is a `hidden beast` number, since 9 + 6 + 6 + 3 + 4 + 9 + 624 + 3 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35696823 + ... + 35699529.

Almost surely, 296634962432 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 96634962432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142902329856).

96634962432 is an abundant number, since it is smaller than the sum of its proper divisors (189169697280).

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

96634962432 is a wasteful number, since it uses less digits than its factorization.

96634962432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2900 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 54.

The spelling of 96634962432 in words is "ninety-six billion, six hundred thirty-four million, nine hundred sixty-two thousand, four hundred thirty-two".