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96036937920 = 263257111923991
BaseRepresentation
bin101100101110000111…
…1110110000011000000
3100011212222102221002200
41121130033312003000
53033140424003140
6112041352513200
76636612334440
oct1313417660300
9304788387080
1096036937920
1137802390990
12167426ab800
139096751bb1
1449109a4120
15277135e030
hex165c3f60c0

96036937920 has 1344 divisors, whose sum is σ = 452816732160. Its totient is φ = 18065203200.

The previous prime is 96036937907. The next prime is 96036937961. The reversal of 96036937920 is 2973963069.

It is a happy number.

96036937920 is a `hidden beast` number, since 9 + 603 + 6 + 9 + 3 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96908625 + ... + 96909615.

Almost surely, 296036937920 is an apocalyptic number.

96036937920 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 96036937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226408366080).

96036937920 is an abundant number, since it is smaller than the sum of its proper divisors (356779794240).

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

96036937920 is a wasteful number, since it uses less digits than its factorization.

96036937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The spelling of 96036937920 in words is "ninety-six billion, thirty-six million, nine hundred thirty-seven thousand, nine hundred twenty".