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96932674080 = 2534511261813
BaseRepresentation
bin101101001000110100…
…0110011101000100000
3100021012101221001010000
41122101220303220200
53042004231032310
6112310311340000
710001040064224
oct1322150635040
9307171831100
1096932674080
1138121a70800
1216952681600
1391aa1b48a8
144997930784
1527c4ce74c0
hex1691a33a20

96932674080 has 360 divisors, whose sum is σ = 376024081356. Its totient is φ = 23498449920.

The previous prime is 96932674063. The next prime is 96932674109. The reversal of 96932674080 is 8047623969.

It is a happy number.

96932674080 is a `hidden beast` number, since 96 + 93 + 2 + 67 + 408 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96142164624 + 790509456 = 310068^2 + 28116^2 .

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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1537254 + ... + 1599066.

Almost surely, 296932674080 is an apocalyptic number.

96932674080 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 96932674080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188012040678).

96932674080 is an abundant number, since it is smaller than the sum of its proper divisors (279091407276).

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

96932674080 is a wasteful number, since it uses less digits than its factorization.

96932674080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61862 (or 61834 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 96932674080 in words is "ninety-six billion, nine hundred thirty-two million, six hundred seventy-four thousand, eighty".