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1103406872832 = 2835114167587
BaseRepresentation
bin10000000011101000001…
…011001011100100000000
310220111002022200211200000
4100003220023023210000
5121034234124412312
62202521554400000
7142501310445255
oct20035013134400
93814068624600
101103406872832
11395a52460a80
12159a20890000
1380087869464
143b595b4342c
151da7eb14adc
hex100e82cb900

1103406872832 has 864 divisors, whose sum is σ = 3748340703744. Its totient is φ = 320794214400.

The previous prime is 1103406872773. The next prime is 1103406872839. The reversal of 1103406872832 is 2382786043011.

1103406872832 is a `hidden beast` number, since 110 + 3 + 406 + 87 + 28 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1103406872839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1879738843 + ... + 1879739429.

It is an arithmetic number, because the mean of its divisors is an integer number (4338357296).

Almost surely, 21103406872832 is an apocalyptic number.

1103406872832 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 1103406872832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874170351872).

1103406872832 is an abundant number, since it is smaller than the sum of its proper divisors (2644933830912).

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

1103406872832 is an equidigital number, since it uses as much as digits as its factorization.

1103406872832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1103406872832 in words is "one trillion, one hundred three billion, four hundred six million, eight hundred seventy-two thousand, eight hundred thirty-two".