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202137564640 = 25511114850889
BaseRepresentation
bin1011110001000001010…
…1100111010111100000
3201022202022111012221011
42330100111213113200
511302434204032030
6232505525310304
720414104643614
oct2742025472740
9638668435834
10202137564640
11787a9427150
1233213565394
13160a513021b
149ad7d49344
1553d0e5bb2a
hex2f105675e0

202137564640 has 48 divisors (see below), whose sum is σ = 520963637040. Its totient is φ = 73504568320.

The previous prime is 202137564637. The next prime is 202137564647. The reversal of 202137564640 is 46465731202.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 202137564593 and 202137564602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202137564647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57423685 + ... + 57427204.

It is an arithmetic number, because the mean of its divisors is an integer number (10853409105).

Almost surely, 2202137564640 is an apocalyptic number.

202137564640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202137564640 is an abundant number, since it is smaller than the sum of its proper divisors (318826072400).

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

202137564640 is a wasteful number, since it uses less digits than its factorization.

202137564640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114850915 (or 114850907 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 202137564640 in words is "two hundred two billion, one hundred thirty-seven million, five hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 114850889 229701778 459403556 574254445 918807112 1148508890 1263359779 1837614224 2297017780 2526719558 3675228448 4594035560 5053439116 6316798895 9188071120 10106878232 12633597790 18376142240 20213756464 25267195580 40427512928 50534391160 101068782320 202137564640