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5426125584 = 2431153712731
BaseRepresentation
bin1010000110110110…
…00001101100010000
3112000011012201222020
411003123001230100
542103042004314
62254232411440
7251315210055
oct50333015420
915004181866
105426125584
1123349a7510
121075246b80
136862197c9
1439690702c
1521b57ada9
hex1436c1b10

5426125584 has 160 divisors (see below), whose sum is σ = 15805559808. Its totient is φ = 1589952000.

The previous prime is 5426125571. The next prime is 5426125597. The reversal of 5426125584 is 4855216245.

It is an interprime number because it is at equal distance from previous prime (5426125571) and next prime (5426125597).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1985499 + ... + 1988229.

Almost surely, 25426125584 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 5426125584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7902779904).

5426125584 is an abundant number, since it is smaller than the sum of its proper divisors (10379434224).

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

5426125584 is a wasteful number, since it uses less digits than its factorization.

5426125584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2871 counting only the distinct ones).

The product of its digits is 384000, while the sum is 42.

The square root of 5426125584 is about 73662.2398790588. The cubic root of 5426125584 is about 1757.2354134829.

The spelling of 5426125584 in words is "five billion, four hundred twenty-six million, one hundred twenty-five thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 71 88 106 132 142 159 176 212 213 264 284 318 424 426 528 568 583 636 781 848 852 1136 1166 1272 1562 1704 1749 2332 2343 2544 2731 3124 3408 3498 3763 4664 4686 5462 6248 6996 7526 8193 9328 9372 10924 11289 12496 13992 15052 16386 18744 21848 22578 27984 30041 30104 32772 37488 41393 43696 45156 60082 60208 65544 82786 90123 90312 120164 124179 131088 144743 165572 180246 180624 193901 240328 248358 289486 331144 360492 387802 434229 480656 496716 578972 581703 662288 720984 775604 868458 993432 1157944 1163406 1441968 1551208 1592173 1736916 1986864 2132911 2315888 2326812 3102416 3184346 3473832 4265822 4653624 4776519 6368692 6398733 6947664 8531644 9307248 9553038 10276753 12737384 12797466 17063288 19106076 20553506 25474768 25594932 30830259 34126576 38212152 41107012 51189864 61660518 76424304 82214024 102379728 113044283 123321036 164428048 226088566 246642072 339132849 452177132 493284144 678265698 904354264 1356531396 1808708528 2713062792 5426125584