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3032472913920 = 21132561678397
BaseRepresentation
bin101100001000001101011…
…110001000100000000000
3101201220100020210012222200
4230020031132020200000
5344141001031221140
610241033202433200
7432042335320362
oct54101536104000
911656306705880
103032472913920
11a6a0789a361a
1240b869062800
1318cc6532c878
14a6ab5940d32
1553d354e8030
hex2c20d788800

3032472913920 has 1152 divisors, whose sum is σ = 11085479233920. Its totient is φ = 766110597120.

The previous prime is 3032472913919. The next prime is 3032472913969. The reversal of 3032472913920 is 293192742303.

3032472913920 is a `hidden beast` number, since 3 + 0 + 3 + 2 + 472 + 91 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 31262607312 + ... + 31262607408.

It is an arithmetic number, because the mean of its divisors is an integer number (9622811835).

Almost surely, 23032472913920 is an apocalyptic number.

3032472913920 is a gapful number since it is divisible by the number (30) 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 3032472913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5542739616960).

3032472913920 is an abundant number, since it is smaller than the sum of its proper divisors (8053006320000).

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

3032472913920 is a wasteful number, since it uses less digits than its factorization.

3032472913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 3032472913920 in words is "three trillion, thirty-two billion, four hundred seventy-two million, nine hundred thirteen thousand, nine hundred twenty".