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2125540650024 = 23321110921131999
BaseRepresentation
bin11110111011100100000…
…110000110110000101000
321112012101120201122102200
4132323210012012300220
5234311101401300044
64304243200500200
7306364610265051
oct36734406066050
97465346648380
102125540650024
1174a489314310
122a3b3b31a660
1312558c5c5a7c
1474c3b9d1728
153a4545d2369
hex1eee4186c28

2125540650024 has 288 divisors, whose sum is σ = 6397438320000. Its totient is φ = 632229857280.

The previous prime is 2125540650019. The next prime is 2125540650119. The reversal of 2125540650024 is 4200560455212.

2125540650024 is a `hidden beast` number, since 2 + 125 + 5 + 4 + 0 + 6 + 500 + 24 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 1063300977 + ... + 1063302975.

It is an arithmetic number, because the mean of its divisors is an integer number (22213327500).

Almost surely, 22125540650024 is an apocalyptic number.

2125540650024 is a gapful number since it is divisible by the number (24) 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 2125540650024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198719160000).

2125540650024 is an abundant number, since it is smaller than the sum of its proper divisors (4271897669976).

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

2125540650024 is a wasteful number, since it uses less digits than its factorization.

2125540650024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 2125540650024 in words is "two trillion, one hundred twenty-five billion, five hundred forty million, six hundred fifty thousand, twenty-four".