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31244857644 = 22372113133783
BaseRepresentation
bin11101000110010101…
…101011000100101100
32222122111201020000210
4131012111223010230
51002442140421034
622204221422420
72154163623300
oct350625530454
988574636023
1031244857644
11122839a9000
12607ba0aa10
132c3c264160
1417258d3d00
15c2d0758e9
hex74656b12c

31244857644 has 576 divisors, whose sum is σ = 104415478272. Its totient is φ = 7200990720.

The previous prime is 31244857573. The next prime is 31244857649. The reversal of 31244857644 is 44675844213.

It is a super-2 number, since 2×312448576442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31244857593 and 31244857602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31244857649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 376444027 + ... + 376444109.

It is an arithmetic number, because the mean of its divisors is an integer number (181276872).

Almost surely, 231244857644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31244857644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52207739136).

31244857644 is an abundant number, since it is smaller than the sum of its proper divisors (73170620628).

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

31244857644 is a wasteful number, since it uses less digits than its factorization.

31244857644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 156 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 48.

It can be divided in two parts, 31244 and 857644, that added together give a palindrome (888888).

The spelling of 31244857644 in words is "thirty-one billion, two hundred forty-four million, eight hundred fifty-seven thousand, six hundred forty-four".