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5413386528 = 2532113746183
BaseRepresentation
bin1010000101010100…
…11011100100100000
3111222021020112021100
411002222123210200
542041311332103
62253055354400
7251102012004
oct50252334440
914867215240
105413386528
112328796470
121070b22a00
136836a92c4
14394d4c704
1521a3b15a3
hex142a9b920

5413386528 has 144 divisors (see below), whose sum is σ = 17248061376. Its totient is φ = 1596049920.

The previous prime is 5413386499. The next prime is 5413386541. The reversal of 5413386528 is 8256833145.

5413386528 is a `hidden beast` number, since 5 + 41 + 3 + 3 + 86 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94125 + ... + 140307.

It is an arithmetic number, because the mean of its divisors is an integer number (119778204).

Almost surely, 25413386528 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 5413386528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8624030688).

5413386528 is an abundant number, since it is smaller than the sum of its proper divisors (11834674848).

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

5413386528 is a wasteful number, since it uses less digits than its factorization.

5413386528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46247 (or 46236 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 5413386528 is about 73575.7196906697. The cubic root of 5413386528 is about 1755.8591668264.

The spelling of 5413386528 in words is "five billion, four hundred thirteen million, three hundred eighty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 37 44 48 66 72 74 88 96 99 111 132 144 148 176 198 222 264 288 296 333 352 396 407 444 528 592 666 792 814 888 1056 1184 1221 1332 1584 1628 1776 2442 2664 3168 3256 3552 3663 4884 5328 6512 7326 9768 10656 13024 14652 19536 29304 39072 46183 58608 92366 117216 138549 184732 277098 369464 415647 508013 554196 738928 831294 1016026 1108392 1477856 1524039 1662588 1708771 2032052 2216784 3048078 3325176 3417542 4064104 4433568 4572117 5126313 6096156 6650352 6835084 8128208 9144234 10252626 12192312 13300704 13670168 15378939 16256416 18288468 18796481 20505252 24384624 27340336 30757878 36576936 37592962 41010504 48769248 54680672 56389443 61515756 73153872 75185924 82021008 112778886 123031512 146307744 150371848 164042016 169168329 225557772 246063024 300743696 338336658 451115544 492126048 601487392 676673316 902231088 1353346632 1804462176 2706693264 5413386528