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2753553899880 = 2332573792883061
BaseRepresentation
bin101000000100011100100…
…110100010000101101000
3100202020101220110020110100
4220010130212202011220
5330103234244244010
65504544252145400
7402636426653340
oct50043446420550
910666356406410
102753553899880
11971859434073
123857a7768260
1316c874b2cb64
14973b64b3d20
154b95d9322c0
hex2811c9a2168

2753553899880 has 192 divisors, whose sum is σ = 10254474921600. Its totient is φ = 627722887680.

The previous prime is 2753553899857. The next prime is 2753553899969. The reversal of 2753553899880 is 889983553572.

2753553899880 is a `hidden beast` number, since 2 + 7 + 5 + 3 + 5 + 538 + 9 + 9 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2753553899799 and 2753553899808.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486451 + ... + 2396610.

It is an arithmetic number, because the mean of its divisors is an integer number (53408723550).

Almost surely, 22753553899880 is an apocalyptic number.

2753553899880 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 2753553899880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127237460800).

2753553899880 is an abundant number, since it is smaller than the sum of its proper divisors (7500921021720).

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

2753553899880 is a wasteful number, since it uses less digits than its factorization.

2753553899880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883464 (or 2883457 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 2753553899880 in words is "two trillion, seven hundred fifty-three billion, five hundred fifty-three million, eight hundred ninety-nine thousand, eight hundred eighty".