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94292599041 = 381722232
BaseRepresentation
bin101011111010001000…
…1101110000100000001
3100000101102011100000000
41113310101232010001
53021102401132131
6111152321350213
76545441603364
oct1276421560401
9300342140000
1094292599041
1136a97794303
1216336498369
138b7924cc04
1447c705a0db
1526bd14cce6
hex15f446e101

94292599041 has 81 divisors (see below), whose sum is σ = 150917354211. Its totient is φ = 58898674368.

The previous prime is 94292598979. The next prime is 94292599069. The reversal of 94292599041 is 14099529249.

The square root of 94292599041 is 307071.

It is a perfect power (a square), and thus also a powerful number.

94292599041 is a `hidden beast` number, since 9 + 4 + 2 + 9 + 2 + 599 + 0 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73411193025 + 20881406016 = 270945^2 + 144504^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 94292599041 - 27 = 94292598913 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (94292599241) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 422836656 + ... + 422836878.

Almost surely, 294292599041 is an apocalyptic number.

94292599041 is the 307071-st square number.

94292599041 is the 153536-th centered octagonal number.

It is an amenable number.

94292599041 is a deficient number, since it is larger than the sum of its proper divisors (56624755170).

94292599041 is an frugal number, since it uses more digits than its factorization.

94292599041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 94292599041 in words is "ninety-four billion, two hundred ninety-two million, five hundred ninety-nine thousand, forty-one".

Divisors: 1 3 9 17 27 51 81 153 223 243 289 459 669 729 867 1377 2007 2187 2601 3791 4131 6021 6561 7803 11373 12393 18063 23409 34119 37179 49729 54189 64447 70227 102357 111537 149187 162567 193341 210681 307071 447561 487701 580023 632043 845393 921213 1342683 1463103 1740069 1896129 2536179 2763639 4028049 5220207 7608537 8290917 12084147 14371681 15660621 22825611 24872751 36252441 43115043 46981863 68476833 108757323 129345129 140945589 205430499 326271969 388035387 422836767 616291497 1164106161 1848874491 3492318483 5546623473 10476955449 31430866347 94292599041