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1104156018432 = 283210321122051
BaseRepresentation
bin10000000100010100110…
…100111100011100000000
310220120000112100101020100
4100010110310330130000
5121042302420042212
62203124155242400
7142526005205235
oct20042464743400
93816015311210
101104156018432
113962a7318175
12159bab749400
1380176b2508c
143b62743178c
151dac5793bdc
hex10114d3c700

1104156018432 has 216 divisors, whose sum is σ = 3229843180928. Its totient is φ = 362734848000.

The previous prime is 1104156018359. The next prime is 1104156018437. The reversal of 1104156018432 is 2348106514011.

1104156018432 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 1 + 5 + 601 + 8 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104156018437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50061807 + ... + 50083857.

Almost surely, 21104156018432 is an apocalyptic number.

1104156018432 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 1104156018432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614921590464).

1104156018432 is an abundant number, since it is smaller than the sum of its proper divisors (2125687162496).

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

1104156018432 is a wasteful number, since it uses less digits than its factorization.

1104156018432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22387 (or 22370 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1104156018432 in words is "one trillion, one hundred four billion, one hundred fifty-six million, eighteen thousand, four hundred thirty-two".