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11013332976 = 24321937108793
BaseRepresentation
bin10100100000111001…
…00001111111110000
31001102112112021122100
422100130201333300
5140023403123401
65020501540400
7536630533332
oct122034417760
931375467570
1011013332976
114741815088
122174414700
131066915299
14766981452
15446d24b86
hex290721ff0

11013332976 has 120 divisors (see below), whose sum is σ = 33321426320. Its totient is φ = 3383866368.

The previous prime is 11013332963. The next prime is 11013332977. The reversal of 11013332976 is 67923331011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11013332976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11013332977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46836 + ... + 155628.

Almost surely, 211013332976 is an apocalyptic number.

11013332976 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 11013332976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16660713160).

11013332976 is an abundant number, since it is smaller than the sum of its proper divisors (22308093344).

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

11013332976 is a wasteful number, since it uses less digits than its factorization.

11013332976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108863 (or 108854 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

Adding to 11013332976 its reverse (67923331011), we get a palindrome (78936663987).

The spelling of 11013332976 in words is "eleven billion, thirteen million, three hundred thirty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 37 38 48 57 72 74 76 111 114 144 148 152 171 222 228 296 304 333 342 444 456 592 666 684 703 888 912 1332 1368 1406 1776 2109 2664 2736 2812 4218 5328 5624 6327 8436 11248 12654 16872 25308 33744 50616 101232 108793 217586 326379 435172 652758 870344 979137 1305516 1740688 1958274 2067067 2611032 3916548 4025341 4134134 5222064 6201201 7833096 8050682 8268268 12076023 12402402 15666192 16101364 16536536 18603603 24152046 24804804 32202728 33073072 36228069 37207206 48304092 49609608 64405456 72456138 74414412 76481479 96608184 99219216 144912276 148828824 152962958 193216368 229444437 289824552 297657648 305925916 458888874 579649104 611851832 688333311 917777748 1223703664 1376666622 1835555496 2753333244 3671110992 5506666488 11013332976