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2499136053120 = 27345719292431
BaseRepresentation
bin100100010111100000000…
…111011101111110000000
322211220201002101111220000
4210113200013131332000
5311421212312144440
65152030502520000
7345361630645020
oct44274007357600
98756632344800
102499136053120
118839721711a3
12344423736000
1315188a6cc975
1488d5d05da80
154501cd56730
hex245e01ddf80

2499136053120 has 1920 divisors, whose sum is σ = 11145477657600. Its totient is φ = 521293086720.

The previous prime is 2499136053109. The next prime is 2499136053143. The reversal of 2499136053120 is 213506319942.

2499136053120 is a `hidden beast` number, since 2 + 4 + 9 + 9 + 1 + 3 + 605 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×24991360531202 (a number of 26 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 5798459305 + ... + 5798459735.

It is an arithmetic number, because the mean of its divisors is an integer number (5804936280).

Almost surely, 22499136053120 is an apocalyptic number.

2499136053120 is a gapful number since it is divisible by the number (20) 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 2499136053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572738828800).

2499136053120 is an abundant number, since it is smaller than the sum of its proper divisors (8646341604480).

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

2499136053120 is a wasteful number, since it uses less digits than its factorization.

2499136053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 2499136053120 in words is "two trillion, four hundred ninety-nine billion, one hundred thirty-six million, fifty-three thousand, one hundred twenty".