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11432864688 = 2437293116131
BaseRepresentation
bin10101010010111001…
…11010101110110000
31002111202221200221220
422221130322232300
5141403303132223
65130245545040
7553213514010
oct125134725660
932452850856
1011432864688
114937610503
122270a15180
131102804abb
147a658bc40
1546da956e3
hex2a973abb0

11432864688 has 80 divisors (see below), whose sum is σ = 33869665536. Its totient is φ = 3255356160.

The previous prime is 11432864687. The next prime is 11432864693. The reversal of 11432864688 is 88646823411.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11432864688.

It is not an unprimeable number, because it can be changed into a prime (11432864687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40383 + ... + 156513.

Almost surely, 211432864688 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 11432864688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934832768).

11432864688 is an abundant number, since it is smaller than the sum of its proper divisors (22436800848).

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

11432864688 is a wasteful number, since it uses less digits than its factorization.

11432864688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116442 (or 116436 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The spelling of 11432864688 in words is "eleven billion, four hundred thirty-two million, eight hundred sixty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 293 336 586 879 1172 1758 2051 2344 3516 4102 4688 6153 7032 8204 12306 14064 16408 24612 32816 49224 98448 116131 232262 348393 464524 696786 812917 929048 1393572 1625834 1858096 2438751 2787144 3251668 4877502 5574288 6503336 9755004 13006672 19510008 34026383 39020016 68052766 102079149 136105532 204158298 238184681 272211064 408316596 476369362 544422128 714554043 816633192 952738724 1429108086 1633266384 1905477448 2858216172 3810954896 5716432344 11432864688