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11136600832 = 2873532393
BaseRepresentation
bin10100101111100101…
…10000101100000000
31001202010110221100111
422113302300230000
5140301432211312
65041024001104
7542655355000
oct122762605400
931663427314
1011136600832
1147a5359045
1221a9760194
131086314746
147790ac000
15452a738a7
hex297cb0b00

11136600832 has 144 divisors (see below), whose sum is σ = 26424014400. Its totient is φ = 4680818688.

The previous prime is 11136600829. The next prime is 11136600833. The reversal of 11136600832 is 23800663111.

It is a junction number, because it is equal to n+sod(n) for n = 11136600794 and 11136600803.

It is not an unprimeable number, because it can be changed into a prime (11136600833) 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, 4652628 + ... + 4655020.

It is an arithmetic number, because the mean of its divisors is an integer number (183500100).

Almost surely, 211136600832 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 11136600832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13212007200).

11136600832 is an abundant number, since it is smaller than the sum of its proper divisors (15287413568).

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

11136600832 is an frugal number, since it uses more digits than its factorization.

11136600832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 11136600832 in words is "eleven billion, one hundred thirty-six million, six hundred thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 128 196 212 224 256 343 371 392 424 448 686 742 784 848 896 1372 1484 1568 1696 1792 2393 2597 2744 2968 3136 3392 4786 5194 5488 5936 6272 6784 9572 10388 10976 11872 12544 13568 16751 18179 19144 20776 21952 23744 33502 36358 38288 41552 43904 47488 67004 72716 76576 83104 87808 94976 117257 126829 134008 145432 153152 166208 234514 253658 268016 290864 306304 332416 469028 507316 536032 581728 612608 664832 820799 887803 938056 1014632 1072064 1163456 1641598 1775606 1876112 2029264 2144128 2326912 3283196 3551212 3752224 4058528 4288256 4653824 6214621 6566392 7102424 7504448 8117056 12429242 13132784 14204848 15008896 16234112 24858484 26265568 28409696 30017792 32468224 43502347 49716968 52531136 56819392 87004694 99433936 105062272 113638784 174009388 198867872 210124544 227277568 348018776 397735744 696037552 795471488 1392075104 1590942976 2784150208 5568300416 11136600832