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27494072832 = 29367433617
BaseRepresentation
bin11001100110110001…
…100100001000000000
32121222002221121112210
4121212301210020000
5422301440312312
620344113222120
71662220522512
oct314661441000
977862847483
1027494072832
1110729761946
1253b3861940
13279216bb65
14148b6d3bb2
15aadb2be3c
hex666c64200

27494072832 has 160 divisors (see below), whose sum is σ = 74631598272. Its totient is φ = 8992456704.

The previous prime is 27494072819. The next prime is 27494072839. The reversal of 27494072832 is 23827049472.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (27494072839) 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, 44560588 + ... + 44561204.

Almost surely, 227494072832 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 27494072832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37315799136).

27494072832 is an abundant number, since it is smaller than the sum of its proper divisors (47137525440).

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

27494072832 is an equidigital number, since it uses as much as digits as its factorization.

27494072832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 27494072832 in words is "twenty-seven billion, four hundred ninety-four million, seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 433 512 536 617 768 804 866 1072 1234 1299 1536 1608 1732 1851 2144 2468 2598 3216 3464 3702 4288 4936 5196 6432 6928 7404 8576 9872 10392 12864 13856 14808 17152 19744 20784 25728 27712 29011 29616 34304 39488 41339 41568 51456 55424 58022 59232 78976 82678 83136 87033 102912 110848 116044 118464 124017 157952 165356 166272 174066 221696 232088 236928 248034 267161 315904 330712 332544 348132 464176 473856 496068 534322 661424 665088 696264 801483 928352 947712 992136 1068644 1322848 1392528 1602966 1856704 1984272 2137288 2645696 2785056 3205932 3713408 3968544 4274576 5291392 5570112 6411864 7426816 7937088 8549152 10582784 11140224 12823728 14853632 15874176 17098304 17899787 21165568 22280448 25647456 31748352 34196608 35799574 44560896 51294912 53699361 63496704 68393216 71599148 102589824 107398722 136786432 143198296 205179648 214797444 286396592 410359296 429594888 572793184 859189776 1145586368 1718379552 2291172736 3436759104 4582345472 6873518208 9164690944 13747036416 27494072832