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5092290144 = 253231570373
BaseRepresentation
bin1001011111000011…
…00010111001100000
3111010220001010211200
410233201202321200
540412111241034
62201145241200
7240122515644
oct45741427140
914126033750
105092290144
112183512a57
12ba1493200
13632003046
14364446c24
151ec0d6a99
hex12f862e60

5092290144 has 72 divisors (see below), whose sum is σ = 14948361792. Its totient is φ = 1642671360.

The previous prime is 5092290107. The next prime is 5092290197. The reversal of 5092290144 is 4410922905.

5092290144 is a `hidden beast` number, since 509 + 2 + 2 + 9 + 0 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5092290099 and 5092290108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276259 + ... + 294114.

It is an arithmetic number, because the mean of its divisors is an integer number (207616136).

Almost surely, 25092290144 is an apocalyptic number.

It is an amenable number.

5092290144 is an abundant number, since it is smaller than the sum of its proper divisors (9856071648).

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

5092290144 is a wasteful number, since it uses less digits than its factorization.

5092290144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570420 (or 570409 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5092290144 is about 71360.2840801520. The cubic root of 5092290144 is about 1720.4327989650.

The spelling of 5092290144 in words is "five billion, ninety-two million, two hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 570373 1140746 1711119 2281492 3422238 4562984 5133357 6844476 9125968 10266714 13688952 17681563 18251936 20533428 27377904 35363126 41066856 53044689 54755808 70726252 82133712 106089378 141452504 159134067 164267424 212178756 282905008 318268134 424357512 565810016 636536268 848715024 1273072536 1697430048 2546145072 5092290144