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5145484656 = 24313173115647
BaseRepresentation
bin1001100101011000…
…11101110101110000
3111021121010200222210
410302230131311300
541014221002111
62210325332120
7241336616664
oct46254356560
914247120883
105145484656
112200545864
12bb7267040
136400394a0
1436b5328a4
15201ae30a6
hex132b1dd70

5145484656 has 160 divisors (see below), whose sum is σ = 15646998528. Its totient is φ = 1441935360.

The previous prime is 5145484649. The next prime is 5145484691. The reversal of 5145484656 is 6564845415.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321025 + ... + 336671.

Almost surely, 25145484656 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 5145484656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7823499264).

5145484656 is an abundant number, since it is smaller than the sum of its proper divisors (10501513872).

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

5145484656 is a wasteful number, since it uses less digits than its factorization.

5145484656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15719 (or 15713 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 48.

The square root of 5145484656 is about 71732.0336809155. The cubic root of 5145484656 is about 1726.4026573352.

The spelling of 5145484656 in words is "five billion, one hundred forty-five million, four hundred eighty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 31 34 39 48 51 52 62 68 78 93 102 104 124 136 156 186 204 208 221 248 272 312 372 403 408 442 496 527 624 663 744 806 816 884 1054 1209 1326 1488 1581 1612 1768 2108 2418 2652 3162 3224 3536 4216 4836 5304 6324 6448 6851 8432 9672 10608 12648 13702 15647 19344 20553 25296 27404 31294 41106 46941 54808 62588 82212 93882 109616 125176 164424 187764 203411 250352 265999 328848 375528 406822 485057 531998 610233 751056 797997 813644 970114 1063996 1220466 1455171 1595994 1627288 1940228 2127992 2440932 2910342 3191988 3254576 3457987 3880456 4255984 4881864 5820684 6305741 6383976 6915974 7760912 8245969 9763728 10373961 11641368 12611482 12767952 13831948 16491938 18917223 20747922 23282736 24737907 25222964 27663896 32983876 37834446 41495844 49475814 50445928 55327792 65967752 75668892 82991688 98951628 100891856 107197597 131935504 151337784 165983376 197903256 214395194 302675568 321592791 395806512 428790388 643185582 857580776 1286371164 1715161552 2572742328 5145484656