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137459896269696 = 273573112138191
BaseRepresentation
bin11111010000010011100000…
…010010011011101110000000
3200000201001000111221101200000
4133100103200102123232000
5121004120331421112241
61204204112104400000
740645102241601000
oct3720234022335600
9600631014841600
10137459896269696
113a887461965900
1213500795176000
135b9154962a640
1425d3147368000
1510d59a9c53eb6
hex7d04e049bb80

137459896269696 has 2304 divisors, whose sum is σ = 566332096512000. Its totient is φ = 32953394073600.

The previous prime is 137459896269671. The next prime is 137459896269757. The reversal of 137459896269696 is 696962698954731.

137459896269696 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 598 + 9 + 6 + 2 + 6 + 9 + 6 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16781816961 + ... + 16781825151.

Almost surely, 2137459896269696 is an apocalyptic number.

137459896269696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137459896269696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283166048256000).

137459896269696 is an abundant number, since it is smaller than the sum of its proper divisors (428872200242304).

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

137459896269696 is an equidigital number, since it uses as much as digits as its factorization.

137459896269696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8276 (or 8227 counting only the distinct ones).

The product of its digits is 57140536320, while the sum is 90.

The spelling of 137459896269696 in words is "one hundred thirty-seven trillion, four hundred fifty-nine billion, eight hundred ninety-six million, two hundred sixty-nine thousand, six hundred ninety-six".