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5957061124 = 22723721492
BaseRepresentation
bin1011000110001000…
…11000101000000100
3120101011021001121111
411203010120220010
544200001423444
62423040254404
7300423120100
oct54304305004
916334231544
105957061124
112587673213
1211a3011404
1373c213651
14407232900
1524cea5234
hex163118a04

5957061124 has 81 divisors (see below), whose sum is σ = 12547694943. Its totient is φ = 2467354176.

The previous prime is 5957061113. The next prime is 5957061163. The reversal of 5957061124 is 4211607595.

The square root of 5957061124 is 77182.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2160900 + 5954900224 = 1470^2 + 77168^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39980202 + ... + 39980350.

Almost surely, 25957061124 is an apocalyptic number.

5957061124 is the 77182-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5957061124

5957061124 is an abundant number, since it is smaller than the sum of its proper divisors (6590633819).

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

5957061124 is a wasteful number, since it uses less digits than its factorization.

5957061124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The cubic root of 5957061124 is about 1812.7754824015.

The spelling of 5957061124 in words is "five billion, nine hundred fifty-seven million, sixty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 149 196 259 298 518 596 1036 1043 1369 1813 2086 2738 3626 4172 5476 5513 7252 7301 9583 11026 14602 19166 22052 22201 29204 38332 38591 44402 67081 77182 88804 134162 154364 155407 203981 268324 270137 310814 407962 540274 621628 815924 821437 1080548 1087849 1427867 1642874 2175698 2855734 3285748 4351396 5711468 5750059 9995069 11500118 19990138 23000236 30393169 39980276 40250413 60786338 80500826 121572676 161001652 212752183 425504366 851008732 1489265281 2978530562 5957061124