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12038092038 = 23272329143239
BaseRepresentation
bin10110011011000011…
…01011010100000110
31011001221210102210200
423031201223110012
5144123222421123
65310310031330
7604213044150
oct131541532406
934057712720
1012038092038
1151182097a5
1223bb648546
13119b010aab
14822ad5ad0
154a6c97143
hex2cd86b506

12038092038 has 96 divisors (see below), whose sum is σ = 32177433600. Its totient is φ = 3176445888.

The previous prime is 12038092007. The next prime is 12038092039. The reversal of 12038092038 is 83029083021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12038091993 and 12038092011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12038092039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12423 + ... + 155661.

It is an arithmetic number, because the mean of its divisors is an integer number (335181600).

Almost surely, 212038092038 is an apocalyptic number.

12038092038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12038092038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16088716800).

12038092038 is an abundant number, since it is smaller than the sum of its proper divisors (20139341562).

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

12038092038 is a wasteful number, since it uses less digits than its factorization.

12038092038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143306 (or 143303 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12038092038 in words is "twelve billion, thirty-eight million, ninety-two thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 29 42 46 58 63 69 87 126 138 161 174 203 207 261 322 406 414 483 522 609 667 966 1218 1334 1449 1827 2001 2898 3654 4002 4669 6003 9338 12006 14007 28014 42021 84042 143239 286478 429717 859434 1002673 1289151 2005346 2578302 3008019 3294497 4153931 6016038 6588994 8307862 9024057 9883491 12461793 18048114 19766982 23061479 24923586 29077517 29650473 37385379 46122958 58155034 59300946 69184437 74770758 87232551 95540413 138368874 174465102 191080826 207553311 261697653 286621239 415106622 523395306 573242478 668782891 859863717 1337565782 1719727434 2006348673 4012697346 6019046019 12038092038