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5684436468 = 223479337659
BaseRepresentation
bin1010100101101000…
…11001110111110100
3112200011021021220000
411102310121313310
543120203431333
62340021111300
7260602625034
oct52264316764
915604237800
105684436468
112457797287
121127858530
136c78abc99
143bcd478c4
152340a2713
hex152d19df4

5684436468 has 120 divisors (see below), whose sum is σ = 15115900800. Its totient is φ = 1862445312.

The previous prime is 5684436419. The next prime is 5684436481. The reversal of 5684436468 is 8646344865.

5684436468 is a `hidden beast` number, since 568 + 4 + 4 + 36 + 46 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (13271040) is a multiple of the sum of its prime divisors (1080).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8625523 + ... + 8626181.

It is an arithmetic number, because the mean of its divisors is an integer number (125965840).

Almost surely, 25684436468 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 5684436468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7557950400).

5684436468 is an abundant number, since it is smaller than the sum of its proper divisors (9431464332).

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

5684436468 is a wasteful number, since it uses less digits than its factorization.

5684436468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1080 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The square root of 5684436468 is about 75395.2018897755. The cubic root of 5684436468 is about 1784.6886936807.

The spelling of 5684436468 in words is "five billion, six hundred eighty-four million, four hundred thirty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 316 324 337 474 659 674 711 948 1011 1318 1348 1422 1977 2022 2133 2636 2844 3033 3954 4044 4266 5931 6066 6399 7908 8532 9099 11862 12132 12798 17793 18198 23724 25596 26623 27297 35586 36396 52061 53246 53379 54594 71172 79869 104122 106492 106758 109188 156183 159738 208244 213516 222083 239607 312366 319476 444166 468549 479214 624732 666249 718821 888332 937098 958428 1332498 1405647 1437642 1874196 1998747 2156463 2664996 2811294 2875284 3997494 4216941 4312926 5622588 5996241 7994988 8433882 8625852 11992482 16867764 17544557 17988723 23984964 35089114 35977446 52633671 70178228 71954892 105267342 157901013 210534684 315802026 473703039 631604052 947406078 1421109117 1894812156 2842218234 5684436468