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5968065024 = 29322356311
BaseRepresentation
bin1011000111011100…
…10111001000000000
3120101220222010010100
411203232113020000
544210311040044
62424112202400
7300615500325
oct54356271000
916356863110
105968065024
1125928a9649
1211a6839400
1374159712c
14408898b4c
1524de2a869
hex163b97200

5968065024 has 120 divisors (see below), whose sum is σ = 17973438912. Its totient is φ = 1902827520.

The previous prime is 5968065023. The next prime is 5968065031. The reversal of 5968065024 is 4205608695.

5968065024 is a `hidden beast` number, since 596 + 8 + 0 + 6 + 50 + 2 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5968065023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77829 + ... + 134139.

Almost surely, 25968065024 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 5968065024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8986719456).

5968065024 is an abundant number, since it is smaller than the sum of its proper divisors (12005373888).

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

5968065024 is a wasteful number, since it uses less digits than its factorization.

5968065024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56358 (or 56339 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5968065024 is about 77253.2525140528. The cubic root of 5968065024 is about 1813.8909838142.

The spelling of 5968065024 in words is "five billion, nine hundred sixty-eight million, sixty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1104 1152 1472 1536 1656 2208 2304 2944 3312 4416 4608 5888 6624 8832 11776 13248 17664 26496 35328 52992 56311 105984 112622 168933 225244 337866 450488 506799 675732 900976 1013598 1295153 1351464 1801952 2027196 2590306 2702928 3603904 3885459 4054392 5180612 5405856 7207808 7770918 8108784 10361224 10811712 11656377 14415616 15541836 16217568 20722448 21623424 23312754 28831232 31083672 32435136 41444896 43246848 46625508 62167344 64870272 82889792 86493696 93251016 124334688 129740544 165779584 186502032 248669376 259481088 331559168 373004064 497338752 663118336 746008128 994677504 1492016256 1989355008 2984032512 5968065024