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5155199964 = 2234292272417
BaseRepresentation
bin1001100110100011…
…00001101111011100
3111022021102021220000
410303101201233130
541024212344324
62211313454300
7241515322335
oct46321415734
914267367800
105155199964
112205a81042
12bba571390
1364205b5a5
1436c94128c
152028b19c9
hex133461bdc

5155199964 has 120 divisors (see below), whose sum is σ = 14008634640. Its totient is φ = 1651152384.

The previous prime is 5155199941. The next prime is 5155199971. The reversal of 5155199964 is 4699915515.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5155199964.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2131684 + ... + 2134100.

It is an arithmetic number, because the mean of its divisors is an integer number (116738622).

Almost surely, 25155199964 is an apocalyptic number.

5155199964 is a gapful number since it is divisible by the number (54) 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 5155199964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7004317320).

5155199964 is an abundant number, since it is smaller than the sum of its proper divisors (8853434676).

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

5155199964 is a wasteful number, since it uses less digits than its factorization.

5155199964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2678 counting only the distinct ones).

The product of its digits is 2187000, while the sum is 54.

The square root of 5155199964 is about 71799.7211972303. The cubic root of 5155199964 is about 1727.4885277326.

The spelling of 5155199964 in words is "five billion, one hundred fifty-five million, one hundred ninety-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 227 261 324 348 454 522 681 783 908 1044 1362 1566 2043 2349 2417 2724 3132 4086 4698 4834 6129 6583 7251 8172 9396 9668 12258 13166 14502 18387 19749 21753 24516 26332 29004 36774 39498 43506 59247 65259 70093 73548 78996 87012 118494 130518 140186 177741 195777 210279 236988 261036 280372 355482 391554 420558 533223 548659 630837 710964 783108 841116 1066446 1097318 1261674 1645977 1892511 2132892 2194636 2523348 3291954 3785022 4937931 5677533 6583908 7570044 9875862 11355066 14813793 15911111 19751724 22710132 29627586 31822222 44441379 47733333 59255172 63644444 88882758 95466666 143199999 177765516 190933332 286399998 429599997 572799996 859199994 1288799991 1718399988 2577599982 5155199964