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4314977568 = 253411151339
BaseRepresentation
bin1000000010011000…
…10101010100100000
3102010201101120110000
410001030111110200
532314113240233
61552100540000
7211633463346
oct40114252440
912121346400
104314977568
111914768570
12a050b1600
13539c64885
142cd105996
151a3c41d13
hex101315520

4314977568 has 120 divisors (see below), whose sum is σ = 13843977840. Its totient is φ = 1307560320.

The previous prime is 4314977533. The next prime is 4314977581. The reversal of 4314977568 is 8657794134.

4314977568 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 9 + 77 + 568 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47158 + ... + 104181.

It is an arithmetic number, because the mean of its divisors is an integer number (115366482).

Almost surely, 24314977568 is an apocalyptic number.

4314977568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4314977568 is an abundant number, since it is smaller than the sum of its proper divisors (9529000272).

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

4314977568 is a wasteful number, since it uses less digits than its factorization.

4314977568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151372 (or 151355 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 4314977568 is about 65688.4888545931. The cubic root of 4314977568 is about 1628.0191688205.

The spelling of 4314977568 in words is "four billion, three hundred fourteen million, nine hundred seventy-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 14256 28512 151339 302678 454017 605356 908034 1210712 1362051 1664729 1816068 2421424 2724102 3329458 3632136 4086153 4842848 4994187 5448204 6658916 7264272 8172306 9988374 10896408 12258459 13317832 14528544 14982561 16344612 19976748 21792816 24516918 26635664 29965122 32689224 39953496 43585632 44947683 49033836 53271328 59930244 65378448 79906992 89895366 98067672 119860488 130756896 134843049 159813984 179790732 196135344 239720976 269686098 359581464 392270688 479441952 539372196 719162928 1078744392 1438325856 2157488784 4314977568