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11274913832 = 23713671391663
BaseRepresentation
bin10101000000000100…
…11000100000101000
31002002202201222010012
422200002120200220
5141042334220312
65102444311052
7546255120620
oct124002304050
932082658105
1011274913832
114866438706
122227b42488
1310a8b80c60
1478d5d3880
1545ec95322
hex2a0098828

11274913832 has 128 divisors (see below), whose sum is σ = 26613350400. Its totient is φ = 4359598848.

The previous prime is 11274913829. The next prime is 11274913843. The reversal of 11274913832 is 23831947211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11274913832.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6779033 + ... + 6780695.

It is an arithmetic number, because the mean of its divisors is an integer number (207916800).

Almost surely, 211274913832 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 11274913832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13306675200).

11274913832 is an abundant number, since it is smaller than the sum of its proper divisors (15338436568).

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

11274913832 is a wasteful number, since it uses less digits than its factorization.

11274913832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1891 counting only the distinct ones).

The product of its digits is 72576, while the sum is 41.

The spelling of 11274913832 in words is "eleven billion, two hundred seventy-four million, nine hundred thirteen thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 67 91 104 134 139 182 268 278 364 469 536 556 728 871 938 973 1112 1663 1742 1807 1876 1946 3326 3484 3614 3752 3892 6097 6652 6968 7228 7784 9313 11641 12194 12649 13304 14456 18626 21619 23282 24388 25298 37252 43238 46564 48776 50596 65191 74504 86476 93128 101192 111421 121069 130382 151333 172952 222842 231157 242138 260764 302666 445684 462314 484276 521528 605332 779947 847483 891368 924628 968552 1210664 1448473 1559894 1618099 1694966 1849256 2896946 3005041 3119788 3236198 3389932 5793892 6010082 6239576 6472396 6779864 10139311 11587784 12020164 12944792 15487519 20278622 21035287 24040328 30975038 40557244 42070574 61950076 81114488 84141148 108412633 123900152 168282296 201337747 216825266 402675494 433650532 805350988 867301064 1409364229 1610701976 2818728458 5637456916 11274913832