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1093217414112 = 25331265297933
BaseRepresentation
bin11111110100010001101…
…01011110101111100000
310212111210012102201001000
433322020311132233200
5120402402124222422
62154114523112000
7141660642461445
oct17721065365740
93774705381030
101093217414112
113916a380390a
12157a58372600
137c122845a45
143acaa7839cc
151d6852d0cac
hexfe88d5ebe0

1093217414112 has 48 divisors (see below), whose sum is σ = 3188550793680. Its totient is φ = 364405804416.

The previous prime is 1093217414077. The next prime is 1093217414123. The reversal of 1093217414112 is 2114147123901.

1093217414112 is a `hidden beast` number, since 10 + 9 + 3 + 217 + 414 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

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 7 ways as a sum of consecutive naturals, for example, 632648103 + ... + 632649830.

It is an arithmetic number, because the mean of its divisors is an integer number (66428141535).

Almost surely, 21093217414112 is an apocalyptic number.

1093217414112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1093217414112 is an abundant number, since it is smaller than the sum of its proper divisors (2095333379568).

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

1093217414112 is a wasteful number, since it uses less digits than its factorization.

1093217414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265297952 (or 1265297938 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1093217414112 in words is "one trillion, ninety-three billion, two hundred seventeen million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1265297933 2530595866 3795893799 5061191732 7591787598 10122383464 11387681397 15183575196 20244766928 22775362794 30367150392 34163044191 40489533856 45550725588 60734300784 68326088382 91101451176 121468601568 136652176764 182202902352 273304353528 364405804704 546608707056 1093217414112