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1077983127380 = 225199327044233
BaseRepresentation
bin11111010111111001100…
…11010010011101010100
310211001110111102202101002
433223330303102131110
5120130202140034010
62143115115322432
7140611266253355
oct17537463223524
93731414382332
101077983127380
113861964107a5
12154b06450418
137a8655c94b3
143a2633b3d2c
151d092b3d1a5
hexfafccd2754

1077983127380 has 24 divisors (see below), whose sum is σ = 2264900509032. Its totient is φ = 430976881152.

The previous prime is 1077983127337. The next prime is 1077983127407. The reversal of 1077983127380 is 837213897701.

It can be written as a sum of positive squares in 4 ways, for example, as 42725716804 + 1035257410576 = 206702^2 + 1017476^2 .

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13482257 + ... + 13561976.

It is an arithmetic number, because the mean of its divisors is an integer number (94370854543).

Almost surely, 21077983127380 is an apocalyptic number.

1077983127380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1077983127380 is an abundant number, since it is smaller than the sum of its proper divisors (1186917381652).

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

1077983127380 is a wasteful number, since it uses less digits than its factorization.

1077983127380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27046235 (or 27046233 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 56.

The spelling of 1077983127380 in words is "one trillion, seventy-seven billion, nine hundred eighty-three million, one hundred twenty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 1993 3986 7972 9965 19930 39860 27044233 54088466 108176932 135221165 270442330 540884660 53899156369 107798312738 215596625476 269495781845 538991563690 1077983127380