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12643064544 = 2531133735527
BaseRepresentation
bin10111100011001010…
…11101101011100000
31012122010011020001210
423301211131223200
5201343111031134
65450320430120
7625210163325
oct136145355340
935563136053
1012643064544
1153a8753580
12254a178340
13126645aaa6
1487d1b4b4c
154dee482e9
hex2f195dae0

12643064544 has 96 divisors (see below), whose sum is σ = 36313595136. Its totient is φ = 3819755520.

The previous prime is 12643064537. The next prime is 12643064573. The reversal of 12643064544 is 44546034621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338109 + ... + 373635.

It is an arithmetic number, because the mean of its divisors is an integer number (378266616).

Almost surely, 212643064544 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 12643064544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18156797568).

12643064544 is an abundant number, since it is smaller than the sum of its proper divisors (23670530592).

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

12643064544 is a wasteful number, since it uses less digits than its factorization.

12643064544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35888 (or 35880 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 12643064544 in words is "twelve billion, six hundred forty-three million, sixty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 337 352 528 674 1011 1056 1348 2022 2696 3707 4044 5392 7414 8088 10784 11121 14828 16176 22242 29656 32352 35527 44484 59312 71054 88968 106581 118624 142108 177936 213162 284216 355872 390797 426324 568432 781594 852648 1136864 1172391 1563188 1705296 2344782 3126376 3410592 4689564 6252752 9379128 11972599 12505504 18758256 23945198 35917797 37516512 47890396 71835594 95780792 131698589 143671188 191561584 263397178 287342376 383123168 395095767 526794356 574684752 790191534 1053588712 1149369504 1580383068 2107177424 3160766136 4214354848 6321532272 12643064544