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96932897820 = 2232511412115659
BaseRepresentation
bin101101001000110100…
…1101010010000011100
3100021012102100102000200
41122101221222100130
53042004310212240
6112310320223500
710001042015433
oct1322151522034
9307172312020
1096932897820
1138122103910
121695276ab90
1391aa262695
14499798c11a
1527c4d3d930
hex1691a6a41c

96932897820 has 288 divisors, whose sum is σ = 330198785280. Its totient is φ = 22813056000.

The previous prime is 96932897783. The next prime is 96932897821. The reversal of 96932897820 is 2879823969.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96932897821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17126151 + ... + 17131809.

It is an arithmetic number, because the mean of its divisors is an integer number (1146523560).

Almost surely, 296932897820 is an apocalyptic number.

96932897820 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 96932897820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165099392640).

96932897820 is an abundant number, since it is smaller than the sum of its proper divisors (233265887460).

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

96932897820 is a wasteful number, since it uses less digits than its factorization.

96932897820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5937 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 96932897820 in words is "ninety-six billion, nine hundred thirty-two million, eight hundred ninety-seven thousand, eight hundred twenty".