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5378560512 = 29313318689
BaseRepresentation
bin1010000001001011…
…00101001000000000
3111212211201011221220
411000211211020000
542003402414022
62245413115040
7250200003303
oct50045451000
914784634856
105378560512
11231006a136
121061328a80
136794047b0
14390484b3a
152172d285c
hex140965200

5378560512 has 160 divisors (see below), whose sum is σ = 15930647040. Its totient is φ = 1601372160.

The previous prime is 5378560501. The next prime is 5378560531. The reversal of 5378560512 is 2150658735.

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, 614664 + ... + 623352.

It is an arithmetic number, because the mean of its divisors is an integer number (99566544).

Almost surely, 25378560512 is an apocalyptic number.

5378560512 is a gapful number since it is divisible by the number (52) 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 5378560512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7965323520).

5378560512 is an abundant number, since it is smaller than the sum of its proper divisors (10552086528).

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

5378560512 is a wasteful number, since it uses less digits than its factorization.

5378560512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8754 (or 8738 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 5378560512 is about 73338.6699633965. The cubic root of 5378560512 is about 1752.0857321322.

The spelling of 5378560512 in words is "five billion, three hundred seventy-eight million, five hundred sixty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 256 312 372 384 403 416 496 512 624 744 768 806 832 992 1209 1248 1488 1536 1612 1664 1984 2418 2496 2976 3224 3328 3968 4836 4992 5952 6448 6656 7936 8689 9672 9984 11904 12896 15872 17378 19344 19968 23808 25792 26067 34756 38688 47616 51584 52134 69512 77376 103168 104268 112957 139024 154752 206336 208536 225914 269359 278048 309504 338871 417072 451828 538718 556096 619008 677742 808077 834144 903656 1077436 1112192 1355484 1616154 1668288 1807312 2154872 2224384 2710968 3232308 3336576 3501667 3614624 4309744 4448768 5421936 6464616 6673152 7003334 7229248 8619488 10505001 10843872 12929232 13346304 14006668 14458496 17238976 21010002 21687744 25858464 28013336 28916992 34477952 42020004 43375488 51716928 56026672 57833984 68955904 84040008 86750976 103433856 112053344 137911808 168080016 173501952 206867712 224106688 336160032 413735424 448213376 672320064 896426752 1344640128 1792853504 2689280256 5378560512