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1089090674040 = 2335109241439787
BaseRepresentation
bin11111101100100101101…
…11001101110101111000
310212010010121020120220010
433312102313031311320
5120320424203032130
62152153224501520
7141453452662335
oct17662267156570
93763117216803
101089090674040
1138a976324a26
121570a631a8a0
137b9158aa605
143a9d867b98c
151d4e2d730b0
hexfd92dcdd78

1089090674040 has 256 divisors, whose sum is σ = 3322687104000. Its totient is φ = 285549649920.

The previous prime is 1089090674039. The next prime is 1089090674101. The reversal of 1089090674040 is 404760909801.

It is a super-2 number, since 2×10890906740402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1383850527 + ... + 1383851313.

It is an arithmetic number, because the mean of its divisors is an integer number (12979246500).

Almost surely, 21089090674040 is an apocalyptic number.

1089090674040 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 1089090674040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661343552000).

1089090674040 is an abundant number, since it is smaller than the sum of its proper divisors (2233596429960).

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

1089090674040 is a wasteful number, since it uses less digits than its factorization.

1089090674040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 1089090674040 in words is "one trillion, eighty-nine billion, ninety million, six hundred seventy-four thousand, forty".