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9182050053 = 31131591491021
BaseRepresentation
bin10001000110100101…
…01111011100000101
3212200220122110201220
420203102233130011
5122301101100203
64115043110553
7443353065141
oct104322573405
925626573656
109182050053
113992034120
121943072459
13b343c1317
14631684221
1538b18c653
hex2234af705

9182050053 has 64 divisors (see below), whose sum is σ = 14128128000. Its totient is φ = 5253408000.

The previous prime is 9182050039. The next prime is 9182050061. The reversal of 9182050053 is 3500502819.

It is a de Polignac number, because none of the positive numbers 2k-9182050053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 9182049996 and 9182050023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9182050453) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8992683 + ... + 8993703.

It is an arithmetic number, because the mean of its divisors is an integer number (220752000).

Almost surely, 29182050053 is an apocalyptic number.

9182050053 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

9182050053 is a deficient number, since it is larger than the sum of its proper divisors (4946077947).

9182050053 is a wasteful number, since it uses less digits than its factorization.

9182050053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274.

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 9182050053 is about 95823.0142137055. The cubic root of 9182050053 is about 2094.0154675110.

The spelling of 9182050053 in words is "nine billion, one hundred eighty-two million, fifty thousand, fifty-three".

Divisors: 1 3 11 31 33 59 93 149 177 341 447 649 1021 1023 1639 1829 1947 3063 4619 4917 5487 8791 11231 13857 20119 26373 31651 33693 50809 60239 60357 94953 96701 152129 152427 180717 272521 290103 348161 456387 662629 817563 1044483 1673419 1867409 1987887 2997731 4715999 5020257 5602227 8975611 8993193 14147997 20541499 26926833 51875989 61624497 98731721 155627967 278243941 296195163 834731823 3060683351 9182050053