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1225154391552 = 293372133732
BaseRepresentation
bin10001110101000000111…
…001000110111000000000
311100010100010010121012000
4101311000321012320000
5130033104011012202
62334454514304000
7154341316334400
oct21650071067000
94303303117160
101225154391552
11432648794843
12179539888000
138b6baac9c70
14434251c0800
1521d0820891c
hex11d40e46e00

1225154391552 has 720 divisors, whose sum is σ = 4555353282480. Its totient is φ = 322251374592.

The previous prime is 1225154391551. The next prime is 1225154391557. The reversal of 1225154391552 is 2551934515221.

1225154391552 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 1 + 5 + 4 + 3 + 91 + 552 = 666.

Its product of digits (540000) is a multiple of the sum of its prime factors (800).

It is a junction number, because it is equal to n+sod(n) for n = 1225154391498 and 1225154391507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225154391551) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3284596038 + ... + 3284596410.

It is an arithmetic number, because the mean of its divisors is an integer number (6326879559).

Almost surely, 21225154391552 is an apocalyptic number.

1225154391552 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 1225154391552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277676641240).

1225154391552 is an abundant number, since it is smaller than the sum of its proper divisors (3330198890928).

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

1225154391552 is an frugal number, since it uses more digits than its factorization.

1225154391552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 398 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The spelling of 1225154391552 in words is "one trillion, two hundred twenty-five billion, one hundred fifty-four million, three hundred ninety-one thousand, five hundred fifty-two".