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2119570053120 = 211345131731373
BaseRepresentation
bin11110110110000000001…
…110000101100000000000
321111121222110222220020000
4132312000032011200000
5234211334413144440
64301414514120000
7306063631121022
oct36660016054000
97447873886200
102119570053120
117479a5046503
122a2953880000
13124b4a6533b0
1474832a78012
153a205356730
hex1ed80385800

2119570053120 has 1920 divisors, whose sum is σ = 8966287249920. Its totient is φ = 473935380480.

The previous prime is 2119570053113. The next prime is 2119570053143. The reversal of 2119570053120 is 213500759112.

2119570053120 is a `hidden beast` number, since 2 + 1 + 19 + 570 + 0 + 53 + 1 + 20 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5682493254 + ... + 5682493626.

It is an arithmetic number, because the mean of its divisors is an integer number (4669941276).

Almost surely, 22119570053120 is an apocalyptic number.

2119570053120 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 2119570053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483143624960).

2119570053120 is an abundant number, since it is smaller than the sum of its proper divisors (6846717196800).

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

2119570053120 is a wasteful number, since it uses less digits than its factorization.

2119570053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 2119570053120 in words is "two trillion, one hundred nineteen billion, five hundred seventy million, fifty-three thousand, one hundred twenty".