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20146993902 = 23278912591427
BaseRepresentation
bin10010110000110110…
…101011101011101110
31221000002010022222100
4102300312223223232
5312230112301102
613131055555530
71312155423360
oct226066535356
957002108870
1020146993902
1185a94a8792
123aa322bba6
131b90c93489
14d91a2ad30
157cdb04a1c
hex4b0dabaee

20146993902 has 96 divisors (see below), whose sum is σ = 50523782400. Its totient is φ = 5683100544.

The previous prime is 20146993877. The next prime is 20146993903. The reversal of 20146993902 is 20939964102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20146993903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14117713 + ... + 14119139.

It is an arithmetic number, because the mean of its divisors is an integer number (526289400).

Almost surely, 220146993902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20146993902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25261891200).

20146993902 is an abundant number, since it is smaller than the sum of its proper divisors (30376788498).

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

20146993902 is a wasteful number, since it uses less digits than its factorization.

20146993902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 20146993902 in words is "twenty billion, one hundred forty-six million, nine hundred ninety-three thousand, nine hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 89 126 178 267 534 623 801 1246 1259 1427 1602 1869 2518 2854 3738 3777 4281 5607 7554 8562 8813 9989 11214 11331 12843 17626 19978 22662 25686 26439 29967 52878 59934 79317 89901 112051 127003 158634 179802 224102 254006 336153 381009 672306 762018 784357 889021 1008459 1143027 1568714 1778042 1796593 2016918 2286054 2353071 2667063 3593186 4706142 5334126 5389779 7059213 8001189 10779558 12576151 14118426 16002378 16169337 25152302 32338674 37728453 75456906 113185359 159896777 226370718 319793554 479690331 959380662 1119277439 1439070993 2238554878 2878141986 3357832317 6715664634 10073496951 20146993902