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20137348332 = 2233238839181
BaseRepresentation
bin10010110000010001…
…111000110011101100
31220222101222021202000
4102300101320303230
5312220130121312
613130113132300
71312010431233
oct226021706354
956871867660
1020137348332
1185a400a942
123a9bb5a090
131b8bc9703a
14d90639b1a
157ccd4badc
hex4b0478cec

20137348332 has 96 divisors (see below), whose sum is σ = 54545487360. Its totient is φ = 6412633920.

The previous prime is 20137348327. The next prime is 20137348381. The reversal of 20137348332 is 23384373102.

20137348332 is a `hidden beast` number, since 201 + 373 + 4 + 83 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2188782 + ... + 2197962.

It is an arithmetic number, because the mean of its divisors is an integer number (568182160).

Almost surely, 220137348332 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 20137348332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27272743680).

20137348332 is an abundant number, since it is smaller than the sum of its proper divisors (34408139028).

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

20137348332 is a wasteful number, since it uses less digits than its factorization.

20137348332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100 (or 10092 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 20137348332 in words is "twenty billion, one hundred thirty-seven million, three hundred forty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 883 1242 1766 2484 2649 3532 5298 7947 9181 10596 15894 18362 20309 23841 27543 31788 36724 40618 47682 55086 60927 81236 82629 95364 110172 121854 165258 182781 211163 243708 247887 330516 365562 422326 495774 548343 633489 731124 844652 991548 1096686 1266978 1900467 2193372 2533956 3800934 5701401 7601868 8106823 11402802 16213646 22805604 24320469 32427292 48640938 72961407 97281876 145922814 186456929 218884221 291845628 372913858 437768442 559370787 745827716 875536884 1118741574 1678112361 2237483148 3356224722 5034337083 6712449444 10068674166 20137348332