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2623338552672 = 253753707261
BaseRepresentation
bin100110001011001011001…
…010011001110101100000
3100021210021222022020000000
4212023023022121311200
5320440044132141142
65325051201300000
7360346526531505
oct46131312316540
910253258266000
102623338552672
1192160824a442
12364506934600
131604c2459656
1490d8258d4ac
154838bc3214c
hex262cb299d60

2623338552672 has 192 divisors, whose sum is σ = 7892025462720. Its totient is φ = 857945986560.

The previous prime is 2623338552613. The next prime is 2623338552701. The reversal of 2623338552672 is 2762558333262.

2623338552672 is a `hidden beast` number, since 2 + 6 + 2 + 3 + 33 + 85 + 526 + 7 + 2 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3355522 + ... + 4062782.

It is an arithmetic number, because the mean of its divisors is an integer number (41104299285).

Almost surely, 22623338552672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2623338552672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946012731360).

2623338552672 is an abundant number, since it is smaller than the sum of its proper divisors (5268686910048).

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

2623338552672 is an frugal number, since it uses more digits than its factorization.

2623338552672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707345 (or 707319 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

The spelling of 2623338552672 in words is "two trillion, six hundred twenty-three billion, three hundred thirty-eight million, five hundred fifty-two thousand, six hundred seventy-two".