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12056138496 = 2834581411
BaseRepresentation
bin10110011101001101…
…00001001100000000
31011010012202021220000
423032212201030000
5144142332412441
65312152520000
7604522325553
oct131646411400
934105667800
1012056138496
115127415326
1224056b0000
1311a198bc7c
1482527269a
154a865e2b6
hex2ce9a1300

12056138496 has 90 divisors (see below), whose sum is σ = 35949285372. Its totient is φ = 4018705920.

The previous prime is 12056138461. The next prime is 12056138531. The reversal of 12056138496 is 69483165021.

12056138496 is a `hidden beast` number, since 1 + 2 + 0 + 561 + 3 + 84 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12056138461) and next prime (12056138531).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 269970 + ... + 311441.

Almost surely, 212056138496 is an apocalyptic number.

12056138496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12056138496 is an abundant number, since it is smaller than the sum of its proper divisors (23893146876).

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

12056138496 is an frugal number, since it uses more digits than its factorization.

12056138496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581439 (or 581416 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12056138496 in words is "twelve billion, fifty-six million, one hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 581411 1162822 1744233 2325644 3488466 4651288 5232699 6976932 9302576 10465398 13953864 15698097 18605152 20930796 27907728 31396194 37210304 41861592 47094291 55815456 62792388 74420608 83723184 94188582 111630912 125584776 148841216 167446368 188377164 223261824 251169552 334892736 376754328 446523648 502339104 669785472 753508656 1004678208 1339570944 1507017312 2009356416 3014034624 4018712832 6028069248 12056138496