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5530140864 = 263410310357
BaseRepresentation
bin1010010011001111…
…10100000011000000
3112021101221021010000
411021213310003000
542311204001424
62312430040000
7254020264443
oct51147640300
915241837100
105530140864
112388690756
1210a4049000
136a1937b01
143a666165a
152257753c9
hex1499f40c0

5530140864 has 140 divisors (see below), whose sum is σ = 16553824144. Its totient is φ = 1825307136.

The previous prime is 5530140853. The next prime is 5530140883. The reversal of 5530140864 is 4680410355.

It is a happy number.

5530140864 is a `hidden beast` number, since 5 + 530 + 1 + 40 + 86 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 528774 + ... + 539130.

Almost surely, 25530140864 is an apocalyptic number.

5530140864 is a gapful number since it is divisible by the number (54) 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 5530140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8276912072).

5530140864 is an abundant number, since it is smaller than the sum of its proper divisors (11023683280).

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

5530140864 is a wasteful number, since it uses less digits than its factorization.

5530140864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10484 (or 10465 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5530140864 is about 74364.9168896194. The cubic root of 5530140864 is about 1768.3927725606.

The spelling of 5530140864 in words is "five billion, five hundred thirty million, one hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 103 108 144 162 192 206 216 288 309 324 412 432 576 618 648 824 864 927 1236 1296 1648 1728 1854 2472 2592 2781 3296 3708 4944 5184 5562 6592 7416 8343 9888 10357 11124 14832 16686 19776 20714 22248 29664 31071 33372 41428 44496 59328 62142 66744 82856 88992 93213 124284 133488 165712 177984 186426 248568 266976 279639 331424 372852 497136 533952 559278 662848 745704 838917 994272 1066771 1118556 1491408 1677834 1988544 2133542 2237112 2982816 3200313 3355668 4267084 4474224 5965632 6400626 6711336 8534168 8948448 9600939 12801252 13422672 17068336 17896896 19201878 25602504 26845344 28802817 34136672 38403756 51205008 53690688 57605634 68273344 76807512 86408451 102410016 115211268 153615024 172816902 204820032 230422536 307230048 345633804 460845072 614460096 691267608 921690144 1382535216 1843380288 2765070432 5530140864