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5987011968 = 2734782493
BaseRepresentation
bin1011001001101101…
…01000110110000000
3120110020121201110000
411210312220312000
544230133340333
62430030240000
7301235522250
oct54466506600
916406551400
105987011968
1125a256a783
1211b1056000
1374549c142
1440b1cb960
1525091e713
hex164da8d80

5987011968 has 160 divisors (see below), whose sum is σ = 20362818960. Its totient is φ = 1710554112.

The previous prime is 5987011909. The next prime is 5987011969. The reversal of 5987011968 is 8691107895.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5987011969) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31330 + ... + 113822.

Almost surely, 25987011968 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 5987011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10181409480).

5987011968 is an abundant number, since it is smaller than the sum of its proper divisors (14375806992).

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

5987011968 is an equidigital number, since it uses as much as digits as its factorization.

5987011968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82526 (or 82505 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The square root of 5987011968 is about 77375.7841188055. The cubic root of 5987011968 is about 1815.8084889287.

The spelling of 5987011968 in words is "five billion, nine hundred eighty-seven million, eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 24192 36288 72576 82493 164986 247479 329972 494958 577451 659944 742437 989916 1154902 1319888 1484874 1732353 1979832 2227311 2309804 2639776 2969748 3464706 3959664 4454622 4619608 5197059 5279552 5939496 6681933 6929412 7919328 8909244 9239216 10394118 10559104 11878992 13363866 13858824 15591177 15838656 17818488 18478432 20788236 23757984 26727732 27717648 31182354 31677312 35636976 36956864 41576472 46773531 47515968 53455464 55435296 62364708 71273952 73913728 83152944 93547062 95031936 106910928 110870592 124729416 142547904 166305888 187094124 213821856 221741184 249458832 285095808 332611776 374188248 427643712 498917664 665223552 748376496 855287424 997835328 1496752992 1995670656 2993505984 5987011968