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5091930624 = 293112313103
BaseRepresentation
bin1001011111000000…
…01011001000000000
3111010212100212200010
410233200023020000
540412013234444
62201133424520
7240116460534
oct45740131000
914125325603
105091930624
112183297930
12ba133b140
13631c08501
14364391bc4
151ec0652b9
hex12f80b200

5091930624 has 160 divisors (see below), whose sum is σ = 15443011584. Its totient is φ = 1475809280.

The previous prime is 5091930583. The next prime is 5091930689. The reversal of 5091930624 is 4260391905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382057 + ... + 395159.

Almost surely, 25091930624 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 5091930624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721505792).

5091930624 is an abundant number, since it is smaller than the sum of its proper divisors (10351080960).

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

5091930624 is a wasteful number, since it uses less digits than its factorization.

5091930624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13158 (or 13142 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 5091930624 is about 71357.7649874210. The cubic root of 5091930624 is about 1720.3923100075.

The spelling of 5091930624 in words is "five billion, ninety-one million, nine hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 256 264 276 352 368 384 506 512 528 552 704 736 759 768 1012 1056 1104 1408 1472 1518 1536 2024 2112 2208 2816 2944 3036 4048 4224 4416 5632 5888 6072 8096 8448 8832 11776 12144 13103 16192 16896 17664 24288 26206 32384 35328 39309 48576 52412 64768 78618 97152 104824 129536 144133 157236 194304 209648 288266 301369 314472 388608 419296 432399 576532 602738 628944 838592 864798 904107 1153064 1205476 1257888 1677184 1729596 1808214 2306128 2410952 2515776 3315059 3354368 3459192 3616428 4612256 4821904 5031552 6630118 6708736 6918384 7232856 9224512 9643808 9945177 10063104 13260236 13836768 14465712 18449024 19287616 19890354 20126208 26520472 27673536 28931424 36898048 38575232 39780708 53040944 55347072 57862848 73796096 77150464 79561416 106081888 110694144 115725696 154300928 159122832 212163776 221388288 231451392 318245664 424327552 462902784 636491328 848655104 1272982656 1697310208 2545965312 5091930624