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96821036532 = 2233111923283659
BaseRepresentation
bin101101000101011111…
…0111100010111110100
3100020220121212021012000
41122022332330113310
53041242141132112
6112251242455300
76665213142303
oct1321276742764
9306817767160
1096821036532
1138074a50870
1216921204530
13919002807c
144986b9043a
1527ba0e47dc
hex168afbc5f4

96821036532 has 384 divisors, whose sum is σ = 302303232000. Its totient is φ = 26452863360.

The previous prime is 96821036531. The next prime is 96821036549. The reversal of 96821036532 is 23563012869.

96821036532 is a `hidden beast` number, since 9 + 6 + 8 + 2 + 103 + 6 + 532 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96821036531) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146920819 + ... + 146921477.

It is an arithmetic number, because the mean of its divisors is an integer number (787248000).

Almost surely, 296821036532 is an apocalyptic number.

96821036532 is a gapful number since it is divisible by the number (92) 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 96821036532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151151616000).

96821036532 is an abundant number, since it is smaller than the sum of its proper divisors (205482195468).

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

96821036532 is a wasteful number, since it uses less digits than its factorization.

96821036532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 96821036532 in words is "ninety-six billion, eight hundred twenty-one million, thirty-six thousand, five hundred thirty-two".