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5625562104 = 233419521877
BaseRepresentation
bin1010011110100111…
…10100001111111000
3112112001111011110000
411033103310033320
543010120441404
62330115153000
7256256326461
oct51723641770
915461434400
105625562104
112427535088
12110bba5760
136b8637496
143b51bdd68
1522dd23339
hex14f4f43f8

5625562104 has 160 divisors (see below), whose sum is σ = 16636870800. Its totient is φ = 1771061760.

The previous prime is 5625562097. The next prime is 5625562139. The reversal of 5625562104 is 4012655265.

5625562104 is a `hidden beast` number, since 5 + 6 + 25 + 5 + 621 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6414114 + ... + 6414990.

Almost surely, 25625562104 is an apocalyptic number.

5625562104 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 5625562104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8318435400).

5625562104 is an abundant number, since it is smaller than the sum of its proper divisors (11011308696).

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

5625562104 is a wasteful number, since it uses less digits than its factorization.

5625562104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5625562104 is about 75003.7472663866. The cubic root of 5625562104 is about 1778.5058900927.

The spelling of 5625562104 in words is "five billion, six hundred twenty-five million, five hundred sixty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 521 648 684 877 1026 1042 1368 1539 1563 1754 2052 2084 2631 3078 3126 3508 4104 4168 4689 5262 6156 6252 7016 7893 9378 9899 10524 12312 12504 14067 15786 16663 18756 19798 21048 23679 28134 29697 31572 33326 37512 39596 42201 47358 49989 56268 59394 63144 66652 71037 79192 84402 89091 94716 99978 112536 118788 133304 142074 149967 168804 178182 189432 199956 237576 267273 284148 299934 337608 356364 399912 449901 456917 534546 568296 599868 712728 801819 899802 913834 1069092 1199736 1349703 1370751 1603638 1799604 1827668 2138184 2699406 2741502 3207276 3599208 3655336 4112253 5398812 5483004 6414552 8224506 8681423 10797624 10966008 12336759 16449012 17362846 24673518 26044269 32898024 34725692 37010277 49347036 52088538 69451384 74020554 78132807 98694072 104177076 148041108 156265614 208354152 234398421 296082216 312531228 468796842 625062456 703195263 937593684 1406390526 1875187368 2812781052 5625562104