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1380608896680 = 23345131715712281
BaseRepresentation
bin10100000101110010101…
…100111110111010101000
311212222121000012200110000
4110011302230332322220
5140104441334143210
62534124252023000
7201513526665066
oct24056254767250
94788530180400
101380608896680
11492570803372
121a36a3161a60
13a0263421440
144ab71145036
1525da5abcac0
hex14172b3eea8

1380608896680 has 640 divisors, whose sum is σ = 5325429019680. Its totient is φ = 317788323840.

The previous prime is 1380608896627. The next prime is 1380608896729. The reversal of 1380608896680 is 866988060831.

1380608896680 is a `hidden beast` number, since 13 + 8 + 0 + 608 + 8 + 9 + 6 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 188760705156 + 1191848191524 = 434466^2 + 1091718^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 112412140 + ... + 112424420.

Almost surely, 21380608896680 is an apocalyptic number.

1380608896680 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 1380608896680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662714509840).

1380608896680 is an abundant number, since it is smaller than the sum of its proper divisors (3944820123000).

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

1380608896680 is a wasteful number, since it uses less digits than its factorization.

1380608896680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12491 (or 12478 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 1380608896680 in words is "one trillion, three hundred eighty billion, six hundred eight million, eight hundred ninety-six thousand, six hundred eighty".