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5405510656 = 21072138287
BaseRepresentation
bin1010000100011000…
…11000110000000000
3111221201102101121101
411002030120300000
542032302320111
62252214504144
7250645040200
oct50214306000
914851371541
105405510656
1123242a7187
12106a365054
13681b7c520
14393c9c400
15219857bc1
hex142318c00

5405510656 has 132 divisors (see below), whose sum is σ = 13538497728. Its totient is φ = 2138185728.

The previous prime is 5405510653. The next prime is 5405510687. The reversal of 5405510656 is 6560155045.

It is not an unprimeable number, because it can be changed into a prime (5405510653) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 648145 + ... + 656431.

Almost surely, 25405510656 is an apocalyptic number.

5405510656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5405510656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769248864).

5405510656 is an abundant number, since it is smaller than the sum of its proper divisors (8132987072).

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

5405510656 is a wasteful number, since it uses less digits than its factorization.

5405510656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8334 (or 8309 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

The square root of 5405510656 is about 73522.1779873257. The cubic root of 5405510656 is about 1755.0072272925.

The spelling of 5405510656 in words is "five billion, four hundred five million, five hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 512 637 728 784 832 896 1024 1274 1456 1568 1664 1792 2548 2912 3136 3328 3584 5096 5824 6272 6656 7168 8287 10192 11648 12544 13312 16574 20384 23296 25088 33148 40768 46592 50176 58009 66296 81536 93184 107731 116018 132592 163072 215462 232036 265184 326144 406063 430924 464072 530368 652288 754117 812126 861848 928144 1060736 1508234 1624252 1723696 1856288 2121472 3016468 3248504 3447392 3712576 4242944 5278819 6032936 6497008 6894784 7425152 8485888 10557638 12065872 12994016 13789568 14850304 21115276 24131744 25988032 27579136 29700608 42230552 48263488 51976064 55158272 59401216 84461104 96526976 103952128 110316544 168922208 193053952 207904256 337844416 386107904 415808512 675688832 772215808 1351377664 2702755328 5405510656