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2652234653250 = 23253713107121061
BaseRepresentation
bin100110100110000101100…
…000010001111001000010
3100101112212210102020001100
4212212011200101321002
5321423234032401000
65350230401115230
7362421563403630
oct46460540217102
910345783366040
102652234653250
119328963554a6
1236a030028b16
13163148c06c10
1492524162350
1548ecd9a4a00
hex26985811e42

2652234653250 has 384 divisors, whose sum is σ = 8909202451968. Its totient is φ = 554357952000.

The previous prime is 2652234653249. The next prime is 2652234653281. The reversal of 2652234653250 is 523564322562.

2652234653250 is a `hidden beast` number, since 2 + 6 + 5 + 2 + 2 + 346 + 53 + 250 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2652234653196 and 2652234653205.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21847720 + ... + 21968780.

It is an arithmetic number, because the mean of its divisors is an integer number (23201048052).

Almost surely, 22652234653250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2652234653250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454601225984).

2652234653250 is an abundant number, since it is smaller than the sum of its proper divisors (6256967798718).

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

2652234653250 is a wasteful number, since it uses less digits than its factorization.

2652234653250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121211 (or 121198 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 2652234653250 in words is "two trillion, six hundred fifty-two billion, two hundred thirty-four million, six hundred fifty-three thousand, two hundred fifty".