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2137646258320 = 245137195040717
BaseRepresentation
bin11111000110110101101…
…001010101100010010000
321120100122020120021010111
4133012311221111202100
5240010344420231240
64314004322011104
7310303603252516
oct37066551254220
97510566507114
102137646258320
11754630647a71
122a63594a6a94
1312676b5b59c1
14756696604b6
153a9122641ea
hex1f1b5a55890

2137646258320 has 40 divisors (see below), whose sum is σ = 5006305149624. Its totient is φ = 848817196032.

The previous prime is 2137646258311. The next prime is 2137646258323. The reversal of 2137646258320 is 238526467312.

It can be written as a sum of positive squares in 4 ways, for example, as 45712150416 + 2091934107904 = 213804^2 + 1446352^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2137646258323) 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, 97509399 + ... + 97531318.

Almost surely, 22137646258320 is an apocalyptic number.

2137646258320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137646258320 is an abundant number, since it is smaller than the sum of its proper divisors (2868658891304).

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

2137646258320 is a wasteful number, since it uses less digits than its factorization.

2137646258320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195040867 (or 195040861 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

The spelling of 2137646258320 in words is "two trillion, one hundred thirty-seven billion, six hundred forty-six million, two hundred fifty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 195040717 390081434 780162868 975203585 1560325736 1950407170 3120651472 3900814340 7801628680 15603257360 26720578229 53441156458 106882312916 133602891145 213764625832 267205782290 427529251664 534411564580 1068823129160 2137646258320