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5685916608 = 26336175333
BaseRepresentation
bin1010100101110100…
…00011001111000000
3112200021001111021000
411102322003033000
543121043312413
62340112532000
7260621331231
oct52272031700
915607044230
105685916608
112458608339
121128251000
136c7ca98c8
143bd211088
15234296073
hex152e833c0

5685916608 has 112 divisors (see below), whose sum is σ = 16745772960. Its totient is φ = 1891878912.

The previous prime is 5685916589. The next prime is 5685916633. The reversal of 5685916608 is 8066195865.

It is a happy number.

5685916608 is a `hidden beast` number, since 568 + 5 + 9 + 16 + 60 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1063510 + ... + 1068842.

It is an arithmetic number, because the mean of its divisors is an integer number (149515830).

Almost surely, 25685916608 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 5685916608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8372886480).

5685916608 is an abundant number, since it is smaller than the sum of its proper divisors (11059856352).

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

5685916608 is a wasteful number, since it uses less digits than its factorization.

5685916608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5971 (or 5955 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 5685916608 is about 75405.0171275095. The cubic root of 5685916608 is about 1784.8435820849.

The spelling of 5685916608 in words is "five billion, six hundred eighty-five million, nine hundred sixteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 617 864 1234 1728 1851 2468 3702 4936 5333 5553 7404 9872 10666 11106 14808 15999 16659 19744 21332 22212 29616 31998 33318 39488 42664 44424 47997 59232 63996 66636 85328 88848 95994 118464 127992 133272 143991 170656 177696 191988 255984 266544 287982 341312 355392 383976 511968 533088 575964 767952 1023936 1066176 1151928 1535904 2303856 3071808 3290461 4607712 6580922 9215424 9871383 13161844 19742766 26323688 29614149 39485532 52647376 59228298 78971064 88842447 105294752 118456596 157942128 177684894 210589504 236913192 315884256 355369788 473826384 631768512 710739576 947652768 1421479152 1895305536 2842958304 5685916608