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1380074215680 = 283654673167
BaseRepresentation
bin10100000101010010110…
…101010101100100000000
311212221012202010002000000
4110011102311111210000
5140102342444400210
62533555232000000
7201464345165256
oct24052265254400
94787182102000
101380074215680
11492316a09646
121a3574090000
13a01a9715854
144ab201225d6
1525d73ba3ac0
hex14152d55900

1380074215680 has 504 divisors, whose sum is σ = 4968477626112. Its totient is φ = 367115784192.

The previous prime is 1380074215669. The next prime is 1380074215693. The reversal of 1380074215680 is 865124700831.

1380074215680 is a `hidden beast` number, since 1 + 3 + 80 + 0 + 7 + 4 + 2 + 1 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 435765457 + ... + 435768623.

It is an arithmetic number, because the mean of its divisors is an integer number (9858090528).

Almost surely, 21380074215680 is an apocalyptic number.

1380074215680 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 1380074215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484238813056).

1380074215680 is an abundant number, since it is smaller than the sum of its proper divisors (3588403410432).

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

1380074215680 is an frugal number, since it uses more digits than its factorization.

1380074215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1380074215680 in words is "one trillion, three hundred eighty billion, seventy-four million, two hundred fifteen thousand, six hundred eighty".