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20386587816 = 2333717793129
BaseRepresentation
bin10010111111001000…
…101010010010101000
31221121202221222001000
4102333020222102220
5313222431302231
613210535155000
71321125065040
oct227710522250
957552858030
1020386587816
118711774191
123b4b515a60
131bcb80151a
14db5798720
157e4b806e6
hex4bf22a4a8

20386587816 has 128 divisors (see below), whose sum is σ = 68526432000. Its totient is φ = 5482100736.

The previous prime is 20386587797. The next prime is 20386587817. The reversal of 20386587816 is 61878568302.

20386587816 is a `hidden beast` number, since 20 + 38 + 6 + 587 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×203865878162 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20386587817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370861 + ... + 422268.

It is an arithmetic number, because the mean of its divisors is an integer number (535362750).

Almost surely, 220386587816 is an apocalyptic number.

It is an amenable number.

20386587816 is an abundant number, since it is smaller than the sum of its proper divisors (48139844184).

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

20386587816 is a wasteful number, since it uses less digits than its factorization.

20386587816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793168 (or 793158 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 20386587816 in words is "twenty billion, three hundred eighty-six million, five hundred eighty-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4284 6426 8568 12852 25704 793129 1586258 2379387 3172516 4758774 5551903 6345032 7138161 9517548 11103806 13483193 14276322 16655709 19035096 21414483 22207612 26966386 28552644 33311418 40449579 42828966 44415224 49967127 53932772 57105288 66622836 80899158 85657932 94382351 99934254 107865544 121348737 133245672 149901381 161798316 171315864 188764702 199868508 242697474 283147053 299802762 323596632 364046211 377529404 399737016 485394948 566294106 599605524 728092422 755058808 849441159 970789896 1132588212 1199211048 1456184844 1698882318 2265176424 2548323477 2912369688 3397764636 5096646954 6795529272 10193293908 20386587816