Search a number
-
+
5655608736 = 253237932423
BaseRepresentation
bin1010100010001100…
…11011110110100000
3112121011000200200020
411101012123312200
543040313434421
62333111153440
7260102611131
oct52106336640
915534020606
105655608736
112442497608
12111a075880
136c192775b
143b91a1c88
152317aadc6
hex15119bda0

5655608736 has 96 divisors (see below), whose sum is σ = 15688028160. Its totient is φ = 1780356864.

The previous prime is 5655608719. The next prime is 5655608741. The reversal of 5655608736 is 6378065565.

It is a tau number, because it is divible by the number of its divisors (96).

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, 158221 + ... + 190643.

It is an arithmetic number, because the mean of its divisors is an integer number (163416960).

Almost surely, 25655608736 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 5655608736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7844014080).

5655608736 is an abundant number, since it is smaller than the sum of its proper divisors (10032419424).

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

5655608736 is a wasteful number, since it uses less digits than its factorization.

5655608736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32538 (or 32530 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The square root of 5655608736 is about 75203.7813942889. The cubic root of 5655608736 is about 1781.6666559597. Note that the first 4 decimals are identical.

The spelling of 5655608736 in words is "five billion, six hundred fifty-five million, six hundred eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 79 92 96 138 158 184 237 276 316 368 474 552 632 736 948 1104 1264 1817 1896 2208 2528 3634 3792 5451 7268 7584 10902 14536 21804 29072 32423 43608 58144 64846 87216 97269 129692 174432 194538 259384 389076 518768 745729 778152 1037536 1491458 1556304 2237187 2561417 2982916 3112608 4474374 5122834 5965832 7684251 8948748 10245668 11931664 15368502 17897496 20491336 23863328 30737004 35794992 40982672 58912591 61474008 71589984 81965344 117825182 122948016 176737773 235650364 245896032 353475546 471300728 706951092 942601456 1413902184 1885202912 2827804368 5655608736