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12055711704 = 23317263283397
BaseRepresentation
bin10110011101001001…
…11000111111011000
31011010011221121102220
423032210320333120
5144142230233304
65312135424040
7604515600351
oct131644707730
934104847386
1012055711704
115127153703
122405525020
1311a186c92a
148251a0d28
154a85c7ad9
hex2ce938fd8

12055711704 has 128 divisors (see below), whose sum is σ = 32227683840. Its totient is φ = 3745032192.

The previous prime is 12055711673. The next prime is 12055711711. The reversal of 12055711704 is 40711755021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30366834 + ... + 30367230.

It is an arithmetic number, because the mean of its divisors is an integer number (251778780).

Almost surely, 212055711704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12055711704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16113841920).

12055711704 is an abundant number, since it is smaller than the sum of its proper divisors (20171972136).

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

12055711704 is a wasteful number, since it uses less digits than its factorization.

12055711704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 33.

The spelling of 12055711704 in words is "twelve billion, fifty-five million, seven hundred eleven thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 263 283 397 408 526 566 789 794 849 1052 1132 1191 1578 1588 1698 2104 2264 2382 3156 3176 3396 4471 4764 4811 6312 6749 6792 8942 9528 9622 13413 13498 14433 17884 19244 20247 26826 26996 28866 35768 38488 40494 53652 53992 57732 74429 80988 104411 107304 112351 115464 148858 161976 208822 223287 224702 297716 313233 337053 417644 446574 449404 595432 626466 674106 835288 893148 898808 1252932 1265293 1348212 1774987 1786296 1909967 2505864 2530586 2696424 3549974 3795879 3819934 5061172 5324961 5729901 7099948 7591758 7639868 10122344 10649922 11459802 14199896 15183516 15279736 21299844 22919604 29548313 30367032 42599688 45839208 59096626 88644939 118193252 177289878 236386504 354579756 502321321 709159512 1004642642 1506963963 2009285284 3013927926 4018570568 6027855852 12055711704