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93103067904 = 2837118831783
BaseRepresentation
bin101011010110101100…
…0000001001100000000
322220022111211220001020
41112231120001030000
53011133341133104
6110434305505440
76504116006520
oct1265530011400
9286274756036
1093103067904
1136537288a20
1216064042280
138a19982832
144713093680
15264d9ce2d9
hex15ad601300

93103067904 has 288 divisors, whose sum is σ = 309456236544. Its totient is φ = 24141680640.

The previous prime is 93103067903. The next prime is 93103067917. The reversal of 93103067904 is 40976030139.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (93103067903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52216197 + ... + 52217979.

Almost surely, 293103067904 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 93103067904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154728118272).

93103067904 is an abundant number, since it is smaller than the sum of its proper divisors (216353168640).

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

93103067904 is a wasteful number, since it uses less digits than its factorization.

93103067904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The spelling of 93103067904 in words is "ninety-three billion, one hundred three million, sixty-seven thousand, nine hundred four".