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11553357216 = 2531753133571
BaseRepresentation
bin10101100001010001…
…00011110110100000
31002211011200100122010
422300220203312200
5142130124412331
65150232312520
7556205626122
oct126050436640
932734610563
1011553357216
114999629305
1222a5242740
131121771c5b
147b8595212
15479446e46
hex2b0a23da0

11553357216 has 96 divisors (see below), whose sum is σ = 32717659968. Its totient is φ = 3556167680.

The previous prime is 11553357209. The next prime is 11553357229. The reversal of 11553357216 is 61275335511.

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

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, 19711 + ... + 153281.

It is an arithmetic number, because the mean of its divisors is an integer number (340808958).

Almost surely, 211553357216 is an apocalyptic number.

11553357216 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 11553357216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16358829984).

11553357216 is an abundant number, since it is smaller than the sum of its proper divisors (21164302752).

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

11553357216 is a wasteful number, since it uses less digits than its factorization.

11553357216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133654 (or 133646 counting only the distinct ones).

The product of its digits is 94500, while the sum is 39.

The spelling of 11553357216 in words is "eleven billion, five hundred fifty-three million, three hundred fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 68 96 102 106 136 159 204 212 272 318 408 424 544 636 816 848 901 1272 1632 1696 1802 2544 2703 3604 5088 5406 7208 10812 14416 21624 28832 43248 86496 133571 267142 400713 534284 801426 1068568 1602852 2137136 2270707 3205704 4274272 4541414 6411408 6812121 7079263 9082828 12822816 13624242 14158526 18165656 21237789 27248484 28317052 36331312 42475578 54496968 56634104 72662624 84951156 108993936 113268208 120347471 169902312 217987872 226536416 240694942 339804624 361042413 481389884 679609248 722084826 962779768 1444169652 1925559536 2888339304 3851119072 5776678608 11553357216