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5361532416 = 29321577411
BaseRepresentation
bin1001111111001001…
…00111111000000000
3111211122200001210200
410333210213320000
541440023014131
62244004125200
7246602162562
oct47744477000
914748601720
105361532416
112301499729
121057696800
13675a21cb6
1438c0d1332
15215a6c2e6
hex13f927e00

5361532416 has 120 divisors (see below), whose sum is σ = 15574405704. Its totient is φ = 1775554560.

The previous prime is 5361532391. The next prime is 5361532427. The reversal of 5361532416 is 6142351635.

5361532416 is a `hidden beast` number, since 5 + 3 + 615 + 3 + 24 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 719751 + ... + 727161.

Almost surely, 25361532416 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 5361532416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7787202852).

5361532416 is an abundant number, since it is smaller than the sum of its proper divisors (10212873288).

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

5361532416 is a wasteful number, since it uses less digits than its factorization.

5361532416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7592 (or 7573 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 5361532416 is about 73222.4857267220. The cubic root of 5361532416 is about 1750.2347892871.

The spelling of 5361532416 in words is "five billion, three hundred sixty-one million, five hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 157 192 256 288 314 384 471 512 576 628 768 942 1152 1256 1413 1536 1884 2304 2512 2826 3768 4608 5024 5652 7411 7536 10048 11304 14822 15072 20096 22233 22608 29644 30144 40192 44466 45216 59288 60288 66699 80384 88932 90432 118576 120576 133398 177864 180864 237152 241152 266796 355728 361728 474304 533592 711456 723456 948608 1067184 1163527 1422912 1897216 2134368 2327054 2845824 3490581 3794432 4268736 4654108 5691648 6981162 8537472 9308216 10471743 11383296 13962324 17074944 18616432 20943486 27924648 34149888 37232864 41886972 55849296 74465728 83773944 111698592 148931456 167547888 223397184 297862912 335095776 446794368 595725824 670191552 893588736 1340383104 1787177472 2680766208 5361532416