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2550947973120 = 21133523467859
BaseRepresentation
bin100101000111110000010…
…110010000100000000000
3100000212102221122202111000
4211013300112100200000
5313243320140114440
65231520032052000
7352204604002251
oct45076026204000
910025387582430
102550947973120
118a393a69a598
12352483394000
131567269741b1
148b67628ab28
154655180b730
hex251f0590800

2550947973120 has 768 divisors, whose sum is σ = 9493376256000. Its totient is φ = 648527413248.

The previous prime is 2550947973109. The next prime is 2550947973139. The reversal of 2550947973120 is 213797490552.

2550947973120 is a `hidden beast` number, since 2 + 5 + 509 + 4 + 7 + 9 + 7 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2969671251 + ... + 2969672109.

It is an arithmetic number, because the mean of its divisors is an integer number (12361167000).

Almost surely, 22550947973120 is an apocalyptic number.

2550947973120 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 2550947973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746688128000).

2550947973120 is an abundant number, since it is smaller than the sum of its proper divisors (6942428282880).

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

2550947973120 is a wasteful number, since it uses less digits than its factorization.

2550947973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 2550947973120 in words is "two trillion, five hundred fifty billion, nine hundred forty-seven million, nine hundred seventy-three thousand, one hundred twenty".