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642157894820 = 225137693211753
BaseRepresentation
bin10010101100000111001…
…01111101110010100100
32021101112002101000012002
421112003211331302210
541010114410113240
61211000412144432
764252162021241
oct11260345756244
92241462330162
10642157894820
11228379432992
12a4555468118
134872aabb5c0
142311b28c5c8
1511a86005d15
hex958397dca4

642157894820 has 48 divisors (see below), whose sum is σ = 1454153741040. Its totient is φ = 236796051456.

The previous prime is 642157894801. The next prime is 642157894883. The reversal of 642157894820 is 28498751246.

642157894820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 52078891264 + 590079003556 = 228208^2 + 768166^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1405937 + ... + 1805816.

It is an arithmetic number, because the mean of its divisors is an integer number (30294869605).

Almost surely, 2642157894820 is an apocalyptic number.

It is an amenable number.

642157894820 is an abundant number, since it is smaller than the sum of its proper divisors (811995846220).

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

642157894820 is a wasteful number, since it uses less digits than its factorization.

642157894820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212544 (or 3212542 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 56.

The spelling of 642157894820 in words is "six hundred forty-two billion, one hundred fifty-seven million, eight hundred ninety-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 769 1538 3076 3845 7690 9997 15380 19994 39988 49985 99970 199940 3211753 6423506 12847012 16058765 32117530 41752789 64235060 83505578 167011156 208763945 417527890 835055780 2469838057 4939676114 9879352228 12349190285 24698380570 32107894741 49396761140 64215789482 128431578964 160539473705 321078947410 642157894820