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5092461696 = 27372298273
BaseRepresentation
bin1001011111000100…
…01100110010000000
3111010220100212011110
410233202030302000
540412132233241
62201153043320
7240124132050
oct45742146200
914126325143
105092461696
11218361a933
12ba1556540
1363206315a
1436448d560
151ec11c816
hex12f88cc80

5092461696 has 128 divisors (see below), whose sum is σ = 15528643200. Its totient is φ = 1448460288.

The previous prime is 5092461691. The next prime is 5092461701. The reversal of 5092461696 is 6961642905.

It is an interprime number because it is at equal distance from previous prime (5092461691) and next prime (5092461701).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×50924616962 = 51866332250454392832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5092461691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611416 + ... + 619688.

It is an arithmetic number, because the mean of its divisors is an integer number (121317525).

Almost surely, 25092461696 is an apocalyptic number.

5092461696 is a gapful number since it is divisible by the number (56) 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 5092461696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7764321600).

5092461696 is an abundant number, since it is smaller than the sum of its proper divisors (10436181504).

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

5092461696 is a wasteful number, since it uses less digits than its factorization.

5092461696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8526 (or 8514 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 5092461696 is about 71361.4860831808. The cubic root of 5092461696 is about 1720.4521183913.

The spelling of 5092461696 in words is "five billion, ninety-two million, four hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 229 336 384 448 458 672 687 896 916 1344 1374 1603 1832 2688 2748 3206 3664 4809 5496 6412 7328 8273 9618 10992 12824 14656 16546 19236 21984 24819 25648 29312 33092 38472 43968 49638 51296 57911 66184 76944 87936 99276 102592 115822 132368 153888 173733 198552 205184 231644 264736 307776 347466 397104 463288 529472 615552 694932 794208 926576 1058944 1389864 1588416 1853152 1894517 2779728 3176832 3706304 3789034 5559456 5683551 7412608 7578068 11118912 11367102 13261619 15156136 22237824 22734204 26523238 30312272 39784857 45468408 53046476 60624544 79569714 90936816 106092952 121249088 159139428 181873632 212185904 242498176 318278856 363747264 424371808 636557712 727494528 848743616 1273115424 1697487232 2546230848 5092461696