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20166015144 = 23311474993257
BaseRepresentation
bin10010110001111111…
…001111100010101000
31221001101220201012210
4102301333033202220
5312244444441034
613133015405120
71312506205032
oct226177174250
957041821183
1020166015144
11860920a720
123aa96837a0
131b94bc3252
14d9437cc52
157d06108e9
hex4b1fcf8a8

20166015144 has 128 divisors (see below), whose sum is σ = 56298240000. Its totient is φ = 5967075840.

The previous prime is 20166015139. The next prime is 20166015173. The reversal of 20166015144 is 44151066102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6189964 + ... + 6193220.

It is an arithmetic number, because the mean of its divisors is an integer number (439830000).

Almost surely, 220166015144 is an apocalyptic number.

20166015144 is a gapful number since it is divisible by the number (24) 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 20166015144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28149120000).

20166015144 is an abundant number, since it is smaller than the sum of its proper divisors (36132224856).

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

20166015144 is a wasteful number, since it uses less digits than its factorization.

20166015144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 20166015144 in words is "twenty billion, one hundred sixty-six million, fifteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 499 517 564 998 1034 1128 1497 1551 1996 2068 2994 3102 3257 3992 4136 5489 5988 6204 6514 9771 10978 11976 12408 13028 16467 19542 21956 23453 26056 32934 35827 39084 43912 46906 65868 70359 71654 78168 93812 107481 131736 140718 143308 153079 187624 214962 257983 281436 286616 306158 429924 459237 515966 562872 612316 773949 859848 918474 1031932 1224632 1547898 1625243 1683869 1836948 2063864 3095796 3250486 3367738 3673896 4875729 5051607 6191592 6500972 6735476 9751458 10103214 13001944 13470952 17877673 19502916 20206428 35755346 39005832 40412856 53633019 71510692 76386421 107266038 143021384 152772842 214532076 229159263 305545684 429064152 458318526 611091368 840250631 916637052 1680501262 1833274104 2520751893 3361002524 5041503786 6722005048 10083007572 20166015144