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5580736704 = 26347314747
BaseRepresentation
bin1010011001010001…
…10100100011000000
3112101221010210120000
411030220310203000
542412132033304
62321434320000
7255203323254
oct51450644300
915357123500
105580736704
1124041a90a4
1210b8b89000
136ac27148a
143ad272264
15229e1b939
hex14ca348c0

5580736704 has 140 divisors (see below), whose sum is σ = 16770806184. Its totient is φ = 1834638336.

The previous prime is 5580736703. The next prime is 5580736769. The reversal of 5580736704 is 4076370855.

5580736704 is a `hidden beast` number, since 5 + 580 + 7 + 3 + 67 + 0 + 4 = 666.

It is a super-3 number, since 3×55807367043 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 5580736704.

It is not an unprimeable number, because it can be changed into a prime (5580736703) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 371059 + ... + 385805.

Almost surely, 25580736704 is an apocalyptic number.

5580736704 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 5580736704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8385403092).

5580736704 is an abundant number, since it is smaller than the sum of its proper divisors (11190069480).

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

5580736704 is a wasteful number, since it uses less digits than its factorization.

5580736704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14844 (or 14825 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5580736704 is about 74704.3285492882. The cubic root of 5580736704 is about 1773.7694788433.

The spelling of 5580736704 in words is "five billion, five hundred eighty million, seven hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 81 96 108 144 146 162 192 216 219 288 292 324 432 438 576 584 648 657 864 876 1168 1296 1314 1728 1752 1971 2336 2592 2628 3504 3942 4672 5184 5256 5913 7008 7884 10512 11826 14016 14747 15768 21024 23652 29494 31536 42048 44241 47304 58988 63072 88482 94608 117976 126144 132723 176964 189216 235952 265446 353928 378432 398169 471904 530892 707856 796338 943808 1061784 1076531 1194507 1415712 1592676 2123568 2153062 2389014 2831424 3185352 3229593 4247136 4306124 4778028 6370704 6459186 8494272 8612248 9556056 9688779 12741408 12918372 17224496 19112112 19377558 25482816 25836744 29066337 34448992 38224224 38755116 51673488 58132674 68897984 76448448 77510232 87199011 103346976 116265348 155020464 174398022 206693952 232530696 310040928 348796044 465061392 620081856 697592088 930122784 1395184176 1860245568 2790368352 5580736704