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5914259104 = 251327173211
BaseRepresentation
bin1011000001000010…
…00110111010100000
3120021011201111021111
411200201012322200
544103022242404
62414511033104
7266363241625
oct54041067240
916234644244
105914259104
112565499446
12119080b794
137333a8600
1440169034c
1524934d104
hex160846ea0

5914259104 has 144 divisors (see below), whose sum is σ = 13022420544. Its totient is φ = 2641766400.

The previous prime is 5914259089. The next prime is 5914259167. The reversal of 5914259104 is 4019524195.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28029559 + ... + 28029769.

It is an arithmetic number, because the mean of its divisors is an integer number (90433476).

Almost surely, 25914259104 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 5914259104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511210272).

5914259104 is an abundant number, since it is smaller than the sum of its proper divisors (7108161440).

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

5914259104 is a wasteful number, since it uses less digits than its factorization.

5914259104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 5914259104 is about 76904.2203263254. The cubic root of 5914259104 is about 1808.4233906764.

The spelling of 5914259104 in words is "five billion, nine hundred fourteen million, two hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 71 73 104 142 146 169 208 211 284 292 338 416 422 568 584 676 844 923 949 1136 1168 1352 1688 1846 1898 2272 2336 2704 2743 3376 3692 3796 5183 5408 5486 6752 7384 7592 10366 10972 11999 12337 14768 14981 15184 15403 20732 21944 23998 24674 29536 29962 30368 30806 35659 41464 43888 47996 49348 59924 61612 67379 71318 82928 87776 95992 98696 119848 123224 134758 142636 165856 191984 194753 197392 200239 239696 246448 269516 285272 383968 389506 394784 400478 479392 492896 539032 570544 779012 800956 875927 1078064 1093613 1141088 1558024 1601912 1751854 2156128 2187226 2531789 2603107 3116048 3203824 3503708 4374452 5063578 5206214 6232096 6407648 7007416 8748904 10127156 10412428 14014832 14216969 17497808 20254312 20824856 28029664 28433938 34995616 40508624 41649712 56867876 81017248 83299424 113735752 184820597 227471504 369641194 454943008 739282388 1478564776 2957129552 5914259104