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1337494394880 = 2113557312477
BaseRepresentation
bin10011011101101000111…
…000001101100000000000
311201212022021200001200000
4103131220320031200000
5133403142031114010
62502234134400000
7165426233530110
oct23355070154000
94655267601600
101337494394880
11476256798aa6
12197270200000
1399182037207
1448a41087040
1524bd09757c0
hex13768e0d800

1337494394880 has 1152 divisors, whose sum is σ = 5673457520640. Its totient is φ = 295731855360.

The previous prime is 1337494394867. The next prime is 1337494394917. The reversal of 1337494394880 is 884934947331.

1337494394880 is a `hidden beast` number, since 1 + 3 + 37 + 4 + 94 + 39 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 539964202 + ... + 539966678.

It is an arithmetic number, because the mean of its divisors is an integer number (4924876320).

Almost surely, 21337494394880 is an apocalyptic number.

1337494394880 is a gapful number since it is divisible by the number (10) 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 1337494394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836728760320).

1337494394880 is an abundant number, since it is smaller than the sum of its proper divisors (4335963125760).

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

1337494394880 is an equidigital number, since it uses as much as digits as its factorization.

1337494394880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 1337494394880 in words is "one trillion, three hundred thirty-seven billion, four hundred ninety-four million, three hundred ninety-four thousand, eight hundred eighty".