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137345753016544 = 2519317287020003
BaseRepresentation
bin11111001110101001001100…
…110100011110100011100000
3200000022010101200021100110111
4133032221030310132203200
5121000233100233012134
61204035433510341104
740633621540134202
oct3716511464364340
9600263350240414
10137345753016544
113a843008a88336
12134a263a95a794
135b83858933067
1425cb7d9bc0772
1510d2a2903ac64
hex7cea4cd1e8e0

137345753016544 has 48 divisors (see below), whose sum is σ = 293812646561280. Its totient is φ = 62959852817280.

The previous prime is 137345753016509. The next prime is 137345753016581. The reversal of 137345753016544 is 445610357543731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3643491154 + ... + 3643528849.

It is an arithmetic number, because the mean of its divisors is an integer number (6121096803360).

Almost surely, 2137345753016544 is an apocalyptic number.

It is an amenable number.

137345753016544 is an abundant number, since it is smaller than the sum of its proper divisors (156466893544736).

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

137345753016544 is a wasteful number, since it uses less digits than its factorization.

137345753016544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7287020063 (or 7287020055 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 58.

The spelling of 137345753016544 in words is "one hundred thirty-seven trillion, three hundred forty-five billion, seven hundred fifty-three million, sixteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 589 608 992 1178 2356 4712 9424 18848 7287020003 14574040006 29148080012 58296160024 116592320048 138453380057 225897620093 233184640096 276906760114 451795240186 553813520228 903590480372 1107627040456 1807180960744 2215254080912 3614361921488 4292054781767 4430508161824 7228723842976 8584109563534 17168219127068 34336438254136 68672876508272 137345753016544