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1381977096192 = 21635731123
BaseRepresentation
bin10100000111000100010…
…000010000000000000000
311220010010100201102100000
4110013010100100000000
5140120242114034232
62534512125200000
7201562452333000
oct24070420200000
94803110642300
101381977096192
11493103051970
121a3a05400000
13a0420a17554
144ac60b3a000
1525e35c8027c
hex141c4410000

1381977096192 has 1632 divisors, whose sum is σ = 5496174028800. Its totient is φ = 343348346880.

The previous prime is 1381977096187. The next prime is 1381977096211. The reversal of 1381977096192 is 2916907791831.

1381977096192 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 9 + 7 + 7 + 0 + 9 + 619 + 2 = 666.

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

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, 60085960693 + ... + 60085960715.

Almost surely, 21381977096192 is an apocalyptic number.

1381977096192 is a gapful number since it is divisible by the number (12) 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 1381977096192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748087014400).

1381977096192 is an abundant number, since it is smaller than the sum of its proper divisors (4114196932608).

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

1381977096192 is an frugal number, since it uses more digits than its factorization.

1381977096192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 63.

The spelling of 1381977096192 in words is "one trillion, three hundred eighty-one billion, nine hundred seventy-seven million, ninety-six thousand, one hundred ninety-two".