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12041976096 = 2532379110323
BaseRepresentation
bin10110011011100000…
…11111100100100000
31011002020002202201200
423031300133210200
5144130221213341
65310525201200
7604261052013
oct131560374440
934066082650
1012041976096
11511a421967
122400a00200
13119ba70957
1482342737a
154a72b2db6
hex2cdc1f920

12041976096 has 72 divisors (see below), whose sum is σ = 34335035280. Its totient is φ = 4003364736.

The previous prime is 12041976091. The next prime is 12041976101. The reversal of 12041976096 is 69067914021.

12041976096 is a `hidden beast` number, since 1 + 20 + 4 + 19 + 7 + 609 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12041976091) and next prime (12041976101).

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

It is a Smith number, since the sum of its digits (45) 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 (12041976091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53991 + ... + 164313.

It is an arithmetic number, because the mean of its divisors is an integer number (476875490).

Almost surely, 212041976096 is an apocalyptic number.

12041976096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12041976096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17167517640).

12041976096 is an abundant number, since it is smaller than the sum of its proper divisors (22293059184).

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

12041976096 is a wasteful number, since it uses less digits than its factorization.

12041976096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110718 (or 110707 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 12041976096 in words is "twelve billion, forty-one million, nine hundred seventy-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 379 758 1137 1516 2274 3032 3411 4548 6064 6822 9096 12128 13644 18192 27288 36384 54576 109152 110323 220646 330969 441292 661938 882584 992907 1323876 1765168 1985814 2647752 3530336 3971628 5295504 7943256 10591008 15886512 31773024 41812417 83624834 125437251 167249668 250874502 334499336 376311753 501749004 668998672 752623506 1003498008 1337997344 1505247012 2006996016 3010494024 4013992032 6020988048 12041976096