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11214633664 = 261323678747
BaseRepresentation
bin10100111000111000…
…11011101011000000
31001221120022102021101
422130130123223000
5140431421234124
65052452304144
7544623545653
oct123434335300
931846272241
1011214633664
114835406293
12220b912054
131099536610
147855c189a
15459839644
hex29c71bac0

11214633664 has 112 divisors (see below), whose sum is σ = 25384036608. Its totient is φ = 4876489728.

The previous prime is 11214633653. The next prime is 11214633697. The reversal of 11214633664 is 46633641211.

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, 1277739 + ... + 1286485.

It is an arithmetic number, because the mean of its divisors is an integer number (226643184).

Almost surely, 211214633664 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 11214633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12692018304).

11214633664 is an abundant number, since it is smaller than the sum of its proper divisors (14169402944).

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

11214633664 is a wasteful number, since it uses less digits than its factorization.

11214633664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8862 (or 8852 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The spelling of 11214633664 in words is "eleven billion, two hundred fourteen million, six hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 67 92 104 134 184 208 268 299 368 416 536 598 736 832 871 1072 1196 1472 1541 1742 2144 2392 3082 3484 4288 4784 6164 6968 8747 9568 12328 13936 17494 19136 20033 24656 27872 34988 40066 49312 55744 69976 80132 98624 113711 139952 160264 201181 227422 279904 320528 402362 454844 559808 586049 641056 804724 909688 1172098 1282112 1609448 1819376 2344196 2615353 3218896 3638752 4688392 5230706 6437792 7277504 7618637 9376784 10461412 12875584 13479127 15237274 18753568 20922824 26958254 30474548 37507136 41845648 53916508 60949096 83691296 107833016 121898192 167382592 175228651 215666032 243796384 350457302 431332064 487592768 700914604 862664128 1401829208 2803658416 5607316832 11214633664