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8315130816 = 26341984421
BaseRepresentation
bin1111011111001111…
…01101001111000000
3210110111101102010000
413233213231033000
5114012133141231
63453034040000
7413025305616
oct75747551700
923414342100
108315130816
113587746943
121740879000
13a2690ac65
1458c4996b6
15339ee76e6
hex1ef9ed3c0

8315130816 has 140 divisors (see below), whose sum is σ = 25946257480. Its totient is φ = 2625799680.

The previous prime is 8315130809. The next prime is 8315130841. The reversal of 8315130816 is 6180315138.

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 19 ways as a sum of consecutive naturals, for example, 56286 + ... + 140706.

Almost surely, 28315130816 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 8315130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12973128740).

8315130816 is an abundant number, since it is smaller than the sum of its proper divisors (17631126664).

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

8315130816 is a wasteful number, since it uses less digits than its factorization.

8315130816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84464 (or 84445 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8315130816 is about 91187.3391211741. The cubic root of 8315130816 is about 2025.9234372678.

The spelling of 8315130816 in words is "eight billion, three hundred fifteen million, one hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 864 912 1026 1216 1296 1368 1539 1728 1824 2052 2592 2736 3078 3648 4104 5184 5472 6156 8208 10944 12312 16416 24624 32832 49248 84421 98496 168842 253263 337684 506526 675368 759789 1013052 1350736 1519578 1603999 2026104 2279367 2701472 3039156 3207998 4052208 4558734 4811997 5402944 6078312 6415996 6838101 8104416 9117468 9623994 12156624 12831992 13676202 14435991 16208832 18234936 19247988 24313248 25663984 27352404 28871982 36469872 38495976 43307973 48626496 51327968 54704808 57743964 72939744 76991952 86615946 102655936 109409616 115487928 129923919 145879488 153983904 173231892 218819232 230975856 259847838 307967808 346463784 437638464 461951712 519695676 692927568 923903424 1039391352 1385855136 2078782704 2771710272 4157565408 8315130816