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2125884594624 = 263771167133403
BaseRepresentation
bin11110111011111000100…
…110001001100111000000
321112020021112220211201120
4132323320212021213000
5234312302424011444
64304341244432240
7306406254622020
oct36737046114700
97466245824646
102125884594624
1174a645482a4a
122a4016548680
1312561593b99b
1474c71563a80
153a4748c1b19
hex1eef89899c0

2125884594624 has 224 divisors, whose sum is σ = 6557893042176. Its totient is φ = 595250396160.

The previous prime is 2125884594601. The next prime is 2125884594637. The reversal of 2125884594624 is 4264954885212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15869107 + ... + 16002509.

It is an arithmetic number, because the mean of its divisors is an integer number (29276308224).

Almost surely, 22125884594624 is an apocalyptic number.

2125884594624 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 2125884594624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278946521088).

2125884594624 is an abundant number, since it is smaller than the sum of its proper divisors (4432008447552).

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

2125884594624 is a wasteful number, since it uses less digits than its factorization.

2125884594624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133663 (or 133653 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 60.

The spelling of 2125884594624 in words is "two trillion, one hundred twenty-five billion, eight hundred eighty-four million, five hundred ninety-four thousand, six hundred twenty-four".