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5644056132 = 22331121333223
BaseRepresentation
bin1010100000110100…
…10111011001000100
3112120100021202111000
411100122113121010
543024334244012
62332015413300
7256602454101
oct52032273104
915510252430
105644056132
112436a16a00
121116224230
136bc4112b0
143b7835aa8
15230777ddc
hex150697644

5644056132 has 144 divisors (see below), whose sum is σ = 17321664640. Its totient is φ = 1578709440.

The previous prime is 5644056127. The next prime is 5644056133. The reversal of 5644056132 is 2316504465.

5644056132 is a `hidden beast` number, since 5 + 64 + 4 + 0 + 561 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5644056133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153273 + ... + 186495.

Almost surely, 25644056132 is an apocalyptic number.

5644056132 is a gapful number since it is divisible by the number (52) 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 5644056132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8660832320).

5644056132 is an abundant number, since it is smaller than the sum of its proper divisors (11677608508).

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

5644056132 is a wasteful number, since it uses less digits than its factorization.

5644056132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33271 (or 33252 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5644056132 is about 75126.9334659681. The cubic root of 5644056132 is about 1780.4527035228.

The spelling of 5644056132 in words is "five billion, six hundred forty-four million, fifty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 121 132 143 156 198 234 242 286 297 351 363 396 429 468 484 572 594 702 726 858 1089 1188 1287 1404 1452 1573 1716 2178 2574 3146 3267 3861 4356 4719 5148 6292 6534 7722 9438 13068 14157 15444 18876 28314 33223 42471 56628 66446 84942 99669 132892 169884 199338 299007 365453 398676 431899 598014 730906 863798 897021 1096359 1196028 1295697 1461812 1727596 1794042 2192718 2591394 3289077 3588084 3887091 4019983 4385436 4750889 5182788 6578154 7774182 8039966 9501778 9867231 11661273 12059949 13156308 14252667 15548364 16079932 19003556 19734462 23322546 24119898 28505334 36179847 39468924 42758001 46645092 48239796 52259779 57010668 72359694 85516002 104519558 108539541 128274003 144719388 156779337 171032004 209039116 217079082 256548006 313558674 434158164 470338011 513096012 627117348 940676022 1411014033 1881352044 2822028066 5644056132