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5361618768 = 2431179173743
BaseRepresentation
bin1001111111001001…
…11100111101010000
3111211122211110020220
410333210330331100
541440033300033
62244010033040
7246603002412
oct47744747520
914748743226
105361618768
1123015485a0
121057718780
13675a523ac
1438c1149b2
15215a87bb3
hex13f93cf50

5361618768 has 160 divisors (see below), whose sum is σ = 15410442240. Its totient is φ = 1592747520.

The previous prime is 5361618751. The next prime is 5361618791. The reversal of 5361618768 is 8678161635.

It is a self number, because there is not a number n which added to its sum of digits gives 5361618768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7215805 + ... + 7216547.

It is an arithmetic number, because the mean of its divisors is an integer number (96315264).

Almost surely, 25361618768 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 5361618768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705221120).

5361618768 is an abundant number, since it is smaller than the sum of its proper divisors (10048823472).

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

5361618768 is a wasteful number, since it uses less digits than its factorization.

5361618768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1011 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 5361618768 is about 73223.0753792819. The cubic root of 5361618768 is about 1750.2441855723.

The spelling of 5361618768 in words is "five billion, three hundred sixty-one million, six hundred eighteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 132 158 173 176 237 264 316 346 474 519 528 632 692 743 869 948 1038 1264 1384 1486 1738 1896 1903 2076 2229 2607 2768 2972 3476 3792 3806 4152 4458 5214 5709 5944 6952 7612 8173 8304 8916 10428 11418 11888 13667 13904 15224 16346 17832 20856 22836 24519 27334 30448 32692 35664 41001 41712 45672 49038 54668 58697 65384 82002 91344 98076 109336 117394 128539 130768 150337 164004 176091 196152 218672 234788 257078 300674 328008 352182 385617 392304 451011 469576 514156 601348 645667 656016 704364 771234 902022 939152 1028312 1202696 1291334 1408728 1413929 1542468 1804044 1937001 2056624 2405392 2582668 2817456 2827858 3084936 3608088 3874002 4241787 5165336 5655716 6169872 7216176 7748004 8483574 10154581 10330672 11311432 15496008 16967148 20309162 22622864 30463743 30992016 33934296 40618324 60927486 67868592 81236648 111700391 121854972 162473296 223400782 243709944 335101173 446801564 487419888 670202346 893603128 1340404692 1787206256 2680809384 5361618768