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13246126656 = 263749919751
BaseRepresentation
bin11000101011000011…
…11101101001000000
31021012010220221202120
430111201331221000
5204112002023111
610030222244240
7646152135030
oct142541755100
937163827676
1013246126656
115688103014
122698126680
131331389389
148d93178c0
15527d6d406
hex31587da40

13246126656 has 112 divisors (see below), whose sum is σ = 40136064000. Its totient is φ = 3776832000.

The previous prime is 13246126529. The next prime is 13246126711. The reversal of 13246126656 is 65662164231.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 660781 + ... + 680531.

Almost surely, 213246126656 is an apocalyptic number.

13246126656 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 13246126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20068032000).

13246126656 is an abundant number, since it is smaller than the sum of its proper divisors (26889937344).

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

13246126656 is a wasteful number, since it uses less digits than its factorization.

13246126656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20272 (or 20262 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 13246126656 in words is "thirteen billion, two hundred forty-six million, one hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 499 672 998 1344 1497 1996 2994 3493 3992 5988 6986 7984 10479 11976 13972 15968 19751 20958 23952 27944 31936 39502 41916 47904 55888 59253 79004 83832 95808 111776 118506 138257 158008 167664 223552 237012 276514 316016 335328 414771 474024 553028 632032 670656 829542 948048 1106056 1264064 1659084 1896096 2212112 3318168 3792192 4424224 6636336 8848448 9855749 13272672 19711498 26545344 29567247 39422996 59134494 68990243 78845992 118268988 137980486 157691984 206970729 236537976 275960972 315383968 413941458 473075952 551921944 630767936 827882916 946151904 1103843888 1655765832 1892303808 2207687776 3311531664 4415375552 6623063328 13246126656