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1089108011376 = 2432711231714057
BaseRepresentation
bin11111101100100111110…
…01010110100101110000
310212010011210212102020200
433312103321112211300
5120320443122331001
62152155044235200
7141454053231450
oct17662371264560
93763153772220
101089108011376
1138a985096800
121570b009bb00
137b91936aaa8
143a9daab1d60
151d4e464a086
hexfd93e56970

1089108011376 has 720 divisors, whose sum is σ = 4009047404544. Its totient is φ = 269837568000.

The previous prime is 1089108011311. The next prime is 1089108011413. The reversal of 1089108011376 is 6731108019801.

1089108011376 is a `hidden beast` number, since 108 + 91 + 0 + 80 + 11 + 376 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 268449540 + ... + 268453596.

Almost surely, 21089108011376 is an apocalyptic number.

1089108011376 is a gapful number since it is divisible by the number (16) 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 1089108011376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004523702272).

1089108011376 is an abundant number, since it is smaller than the sum of its proper divisors (2919939393168).

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

1089108011376 is a wasteful number, since it uses less digits than its factorization.

1089108011376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 1089108011376 in words is "one trillion, eighty-nine billion, one hundred eight million, eleven thousand, three hundred seventy-six".