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13244991480 = 2333576779331
BaseRepresentation
bin11000101010111011…
…01000011111111000
31021012001210021121000
430111131220133320
5204111204211410
610030142045000
7646136366340
oct142535503770
937161707530
1013244991480
1156874a8156
122697879760
13133107c786
148d90ddd20
15527be6dc0
hex3157687f8

13244991480 has 512 divisors, whose sum is σ = 52015104000. Its totient is φ = 2935595520.

The previous prime is 13244991437. The next prime is 13244991497. The reversal of 13244991480 is 8419944231.

13244991480 is a `hidden beast` number, since 13 + 2 + 4 + 499 + 148 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40014915 + ... + 40015245.

It is an arithmetic number, because the mean of its divisors is an integer number (101592000).

Almost surely, 213244991480 is an apocalyptic number.

13244991480 is a gapful number since it is divisible by the number (10) 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 13244991480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26007552000).

13244991480 is an abundant number, since it is smaller than the sum of its proper divisors (38770112520).

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

13244991480 is a wasteful number, since it uses less digits than its factorization.

13244991480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13244991480 in words is "thirteen billion, two hundred forty-four million, nine hundred ninety-one thousand, four hundred eighty".