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12664020480 = 29358319867
BaseRepresentation
bin10111100101101010…
…11001111000000000
31012200120120220012120
423302311121320000
5201413442123410
65452345524240
7625553253336
oct136265317000
935616526176
1012664020480
115409567031
1225551a3680
13126a8b7357
14881cabb56
154e1bd7570
hex2f2d59e00

12664020480 has 160 divisors (see below), whose sum is σ = 40975127424. Its totient is φ = 3336216576.

The previous prime is 12664020433. The next prime is 12664020491. The reversal of 12664020480 is 8402046621.

It is a tau number, because it is divible by the number of its divisors (160).

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, 627507 + ... + 647373.

Almost surely, 212664020480 is an apocalyptic number.

12664020480 is a gapful number since it is divisible by the number (10) 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 12664020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20487563712).

12664020480 is an abundant number, since it is smaller than the sum of its proper divisors (28311106944).

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

12664020480 is an equidigital number, since it uses as much as digits as its factorization.

12664020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19976 (or 19960 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 12664020480 in words is "twelve billion, six hundred sixty-four million, twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 128 160 166 192 240 249 256 320 332 384 415 480 498 512 640 664 768 830 960 996 1245 1280 1328 1536 1660 1920 1992 2490 2560 2656 3320 3840 3984 4980 5312 6640 7680 7968 9960 10624 13280 15936 19867 19920 21248 26560 31872 39734 39840 42496 53120 59601 63744 79468 79680 99335 106240 119202 127488 158936 159360 198670 212480 238404 298005 317872 318720 397340 476808 596010 635744 637440 794680 953616 1192020 1271488 1589360 1648961 1907232 2384040 2542976 3178720 3297922 3814464 4768080 4946883 5085952 6357440 6595844 7628928 8244805 9536160 9893766 10171904 12714880 13191688 15257856 16489610 19072320 19787532 24734415 25429760 26383376 30515712 32979220 38144640 39575064 49468830 50859520 52766752 65958440 76289280 79150128 98937660 105533504 131916880 152578560 158300256 197875320 211067008 263833760 316600512 395750640 422134016 527667520 633201024 791501280 844268032 1055335040 1266402048 1583002560 2110670080 2532804096 3166005120 4221340160 6332010240 12664020480