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1108673879040 = 210345713291013
BaseRepresentation
bin10000001000100010000…
…111001101110000000000
310220222200101111110220000
4100020202013031300000
5121131031003112130
62205152344520000
7143045654324430
oct20104207156000
93828611443800
101108673879040
11398205557772
1215aa50780000
1380716b13290
143b93546a2c0
151dc8c20e260
hex102221cdc00

1108673879040 has 1760 divisors, whose sum is σ = 5063277098880. Its totient is φ = 225628913664.

The previous prime is 1108673878987. The next prime is 1108673879051. The reversal of 1108673879040 is 409783768011.

1108673879040 is a `hidden beast` number, since 110 + 8 + 67 + 387 + 90 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1094445574 + ... + 1094446586.

It is an arithmetic number, because the mean of its divisors is an integer number (2876861988).

Almost surely, 21108673879040 is an apocalyptic number.

1108673879040 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 1108673879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531638549440).

1108673879040 is an abundant number, since it is smaller than the sum of its proper divisors (3954603219840).

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

1108673879040 is a wasteful number, since it uses less digits than its factorization.

1108673879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1108673879040 in words is "one trillion, one hundred eight billion, six hundred seventy-three million, eight hundred seventy-nine thousand, forty".