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93713380992 = 2732711296043
BaseRepresentation
bin101011101000111000…
…0001011011010000000
322221220001021000012200
41113101300023122000
53013411111142432
6111015030553200
76525206411130
oct1272160133200
9287801230180
1093713380992
113681a840200
12161b4508800
138ab624c63a
144770162ac0
152687387a7c
hex15d1c0b680

93713380992 has 288 divisors, whose sum is σ = 338762555040. Its totient is φ = 24340884480.

The previous prime is 93713380963. The next prime is 93713381029. The reversal of 93713380992 is 29908331739.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 927723 + ... + 1023765.

Almost surely, 293713380992 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 93713380992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169381277520).

93713380992 is an abundant number, since it is smaller than the sum of its proper divisors (245049174048).

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

93713380992 is a wasteful number, since it uses less digits than its factorization.

93713380992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96092 (or 96066 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 93713380992 in words is "ninety-three billion, seven hundred thirteen million, three hundred eighty thousand, nine hundred ninety-two".