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93057928001 = 2941731072133
BaseRepresentation
bin101011010101010101…
…1110100101101000001
322220012100220112201222
41112222223310231001
53011040312144001
6110430014204425
76503030223353
oct1265253645501
9286170815658
1093057928001
1136513857715
1216050ab3715
138a1050962c
14470b0a30d3
152649a6461b
hex15aaaf4b41

93057928001 has 16 divisors (see below), whose sum is σ = 99965774160. Its totient is φ = 86456724480.

The previous prime is 93057927959. The next prime is 93057928027. The reversal of 93057928001 is 10082975039.

It can be written as a sum of positive squares in 8 ways, for example, as 4515974401 + 88541953600 = 67201^2 + 297560^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-93057928001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93057978001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449270 + ... + 622863.

It is an arithmetic number, because the mean of its divisors is an integer number (6247860885).

Almost surely, 293057928001 is an apocalyptic number.

It is an amenable number.

93057928001 is a deficient number, since it is larger than the sum of its proper divisors (6907846159).

93057928001 is a wasteful number, since it uses less digits than its factorization.

93057928001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072276.

The product of its (nonzero) digits is 136080, while the sum is 44.

The spelling of 93057928001 in words is "ninety-three billion, fifty-seven million, nine hundred twenty-eight thousand, one".

Divisors: 1 29 41 73 1189 2117 2993 86797 1072133 31091857 43957453 78265709 1274766137 2269705561 3208894069 93057928001