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5116005120 = 28355772309
BaseRepresentation
bin1001100001111000…
…00000101100000000
3111012112122222200010
410300330000230000
540434144130440
62203353424520
7240531216552
oct46074005400
914175588603
105116005120
112195940406
12ba940b140
13636bb7385
1436765b4d2
151ee21d580
hex130f00b00

5116005120 has 144 divisors (see below), whose sum is σ = 16374647520. Its totient is φ = 1361313792.

The previous prime is 5116005107. The next prime is 5116005127. The reversal of 5116005120 is 215006115.

It is not an unprimeable number, because it can be changed into a prime (5116005127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2214526 + ... + 2216834.

It is an arithmetic number, because the mean of its divisors is an integer number (113712830).

Almost surely, 25116005120 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 5116005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8187323760).

5116005120 is an abundant number, since it is smaller than the sum of its proper divisors (11258642400).

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

5116005120 is a wasteful number, since it uses less digits than its factorization.

5116005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 5116005120 is about 71526.2547600530. The cubic root of 5116005120 is about 1723.0993693439.

The spelling of 5116005120 in words is "five billion, one hundred sixteen million, five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 577 640 768 960 1154 1280 1731 1920 2308 2309 2885 3462 3840 4616 4618 5770 6924 6927 8655 9232 9236 11540 11545 13848 13854 17310 18464 18472 23080 23090 27696 27708 34620 34635 36928 36944 46160 46180 55392 55416 69240 69270 73856 73888 92320 92360 110784 110832 138480 138540 147712 147776 184640 184720 221568 221664 276960 277080 295552 369280 369440 443136 443328 553920 554160 591104 738560 738880 886656 1107840 1108320 1332293 1477760 1773312 2215680 2216640 2664586 2955520 3996879 4433280 5329172 6661465 7993758 8866560 10658344 13322930 15987516 19984395 21316688 26645860 31975032 39968790 42633376 53291720 63950064 79937580 85266752 106583440 127900128 159875160 170533504 213166880 255800256 319750320 341067008 426333760 511600512 639500640 852667520 1023201024 1279001280 1705335040 2558002560 5116005120