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3375226423296 = 2113773133
BaseRepresentation
bin110001000111011011001…
…011000000100000000000
3102221200001022222120000000
4301013123023000200000
5420244430431021141
611102320240000000
7465565154142000
oct61073313004000
912850038876000
103375226423296
111091475362242
12466184600000
131b6389811000
14b950cc12000
155cbe62935b6
hex311db2c0800

3375226423296 has 1536 divisors, whose sum is σ = 12786883200000. Its totient is φ = 890169606144.

The previous prime is 3375226423291. The next prime is 3375226423339. The reversal of 3375226423296 is 6923246225733.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3375226423296 is a `hidden beast` number, since 3 + 3 + 7 + 52 + 264 + 2 + 329 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×33752264232962 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3375226423291) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 259632801786 + ... + 259632801798.

It is an arithmetic number, because the mean of its divisors is an integer number (8324793750).

Almost surely, 23375226423296 is an apocalyptic number.

3375226423296 is a gapful number since it is divisible by the number (36) 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 3375226423296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6393441600000).

3375226423296 is an abundant number, since it is smaller than the sum of its proper divisors (9411656776704).

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

3375226423296 is an frugal number, since it uses more digits than its factorization.

3375226423296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 25 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 54.

The spelling of 3375226423296 in words is "three trillion, three hundred seventy-five billion, two hundred twenty-six million, four hundred twenty-three thousand, two hundred ninety-six".