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2122874485920 = 2533517291815507
BaseRepresentation
bin11110111001000101001…
…011011111110010100000
321111221111202212110212000
4132321011023133302200
5234240121332022140
64303122435404000
7306241544254626
oct36710513376240
97457452773760
102122874485920
11749340338801
122a3516453600
13125256128286
1474a67889516
153a34a4d2a30
hex1ee452dfca0

2122874485920 has 768 divisors, whose sum is σ = 8184852748800. Its totient is φ = 511492423680.

The previous prime is 2122874485883. The next prime is 2122874485933. The reversal of 2122874485920 is 295844782212.

2122874485920 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 8 + 7 + 4 + 48 + 592 + 0 = 666.

It is a super-3 number, since 3×21228744859203 (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 385483807 + ... + 385489313.

It is an arithmetic number, because the mean of its divisors is an integer number (10657360350).

Almost surely, 22122874485920 is an apocalyptic number.

2122874485920 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 2122874485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092426374400).

2122874485920 is an abundant number, since it is smaller than the sum of its proper divisors (6061978262880).

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

2122874485920 is a wasteful number, since it uses less digits than its factorization.

2122874485920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5758 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 2122874485920 in words is "two trillion, one hundred twenty-two billion, eight hundred seventy-four million, four hundred eighty-five thousand, nine hundred twenty".