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5119688704 = 214132432
BaseRepresentation
bin1001100010010100…
…00100000000000000
3111012210121010121011
410301022010000000
540441120014304
62204004410304
7240604431064
oct46112040000
914183533534
105119688704
112197a26999
12baa6a6994
136378a6c00
14367d39aa4
151ee6e9c04
hex131284000

5119688704 has 135 divisors (see below), whose sum is σ = 11351111373. Its totient is φ = 2307981312.

The previous prime is 5119688701. The next prime is 5119688807. The reversal of 5119688704 is 4078869115.

The square root of 5119688704 is 71552.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 757350400 + 4362338304 = 27520^2 + 66048^2 .

It is a super-2 number, since 2×51196887042 = 52422424851730399232, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5119688701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 119062507 + ... + 119062549.

Almost surely, 25119688704 is an apocalyptic number.

5119688704 is the 71552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5119688704

5119688704 is an abundant number, since it is smaller than the sum of its proper divisors (6231422669).

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

5119688704 is an frugal number, since it uses more digits than its factorization.

5119688704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

The cubic root of 5119688704 is about 1723.5128207498.

Multiplying 5119688704 by its sum of digits (49), we get a square (250864746496 = 5008642).

The spelling of 5119688704 in words is "five billion, one hundred nineteen million, six hundred eighty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 169 172 208 256 338 344 416 512 559 676 688 832 1024 1118 1352 1376 1664 1849 2048 2236 2704 2752 3328 3698 4096 4472 5408 5504 6656 7267 7396 8192 8944 10816 11008 13312 14534 14792 16384 17888 21632 22016 24037 26624 29068 29584 35776 43264 44032 48074 53248 58136 59168 71552 86528 88064 96148 106496 116272 118336 143104 173056 176128 192296 212992 232544 236672 286208 312481 346112 352256 384592 465088 473344 572416 624962 692224 704512 769184 930176 946688 1144832 1249924 1384448 1538368 1860352 1893376 2289664 2499848 2768896 3076736 3720704 3786752 4579328 4999696 6153472 7441408 7573504 9158656 9999392 12306944 14882816 15147008 19998784 24613888 29765632 30294016 39997568 49227776 59531264 79995136 98455552 119062528 159990272 196911104 319980544 393822208 639961088 1279922176 2559844352 5119688704