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5120132832 = 2532791391619
BaseRepresentation
bin1001100010010111…
…10000011011100000
3111012211102200211100
410301023300123200
540441223222312
62204022114400
7240611260653
oct46113603340
914184380740
105120132832
1121981aa641
12baa87ba00
13637a010c9
1436801389a
151ee7865dc
hex1312f06e0

5120132832 has 144 divisors (see below), whose sum is σ = 14859936000. Its totient is φ = 1671950592.

The previous prime is 5120132813. The next prime is 5120132869. The reversal of 5120132832 is 2382310215.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 5120132796 and 5120132805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3161719 + ... + 3163337.

It is an arithmetic number, because the mean of its divisors is an integer number (103194000).

Almost surely, 25120132832 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 5120132832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429968000).

5120132832 is an abundant number, since it is smaller than the sum of its proper divisors (9739803168).

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

5120132832 is a wasteful number, since it uses less digits than its factorization.

5120132832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5120132832 is about 71555.1034657906. The cubic root of 5120132832 is about 1723.5626569939.

The spelling of 5120132832 in words is "five billion, one hundred twenty million, one hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 139 144 158 237 278 288 316 417 474 556 632 711 834 948 1112 1251 1264 1422 1619 1668 1896 2224 2502 2528 2844 3238 3336 3792 4448 4857 5004 5688 6476 6672 7584 9714 10008 10981 11376 12952 13344 14571 19428 20016 21962 22752 25904 29142 32943 38856 40032 43924 51808 58284 65886 77712 87848 98829 116568 127901 131772 155424 175696 197658 225041 233136 255802 263544 351392 383703 395316 450082 466272 511604 527088 675123 767406 790632 900164 1023208 1054176 1151109 1350246 1534812 1581264 1800328 2025369 2046416 2302218 2700492 3069624 3162528 3600656 4050738 4092832 4604436 5400984 6139248 7201312 8101476 9208872 10801968 12278496 16202952 17778239 18417744 21603936 32405904 35556478 36835488 53334717 64811808 71112956 106669434 142225912 160004151 213338868 284451824 320008302 426677736 568903648 640016604 853355472 1280033208 1706710944 2560066416 5120132832