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5327142444 = 2233136162201
BaseRepresentation
bin1001111011000010…
…11011111000101100
3111202020221212122000
410331201123320230
541402222024234
62240335052300
7246003651351
oct47541337054
914666855560
105327142444
11229403aa68
121048071090
1366b870ac0
143876dc628
15212a27899
hex13d85be2c

5327142444 has 96 divisors (see below), whose sum is σ = 15117574080. Its totient is φ = 1612224000.

The previous prime is 5327142433. The next prime is 5327142467. The reversal of 5327142444 is 4442417235.

5327142444 is a `hidden beast` number, since 53 + 27 + 142 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5327142399 and 5327142408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54544 + ... + 116744.

It is an arithmetic number, because the mean of its divisors is an integer number (157474730).

Almost surely, 25327142444 is an apocalyptic number.

5327142444 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5327142444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558787040).

5327142444 is an abundant number, since it is smaller than the sum of its proper divisors (9790431636).

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

5327142444 is a wasteful number, since it uses less digits than its factorization.

5327142444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62288 (or 62280 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 5327142444 is about 72987.2759047767. The cubic root of 5327142444 is about 1746.4846377295.

Adding to 5327142444 its reverse (4442417235), we get a palindrome (9769559679).

The spelling of 5327142444 in words is "five billion, three hundred twenty-seven million, one hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 61 78 108 117 122 156 183 234 244 351 366 468 549 702 732 793 1098 1404 1586 1647 2196 2379 3172 3294 4758 6588 7137 9516 14274 21411 28548 42822 62201 85644 124402 186603 248804 373206 559809 746412 808613 1119618 1617226 1679427 2239236 2425839 3234452 3358854 3794261 4851678 6717708 7277517 7588522 9703356 11382783 14555034 15177044 21832551 22765566 29110068 34148349 43665102 45531132 49325393 68296698 87330204 98650786 102445047 136593396 147976179 197301572 204890094 295952358 409780188 443928537 591904716 887857074 1331785611 1775714148 2663571222 5327142444