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2645370114048 = 21232314395273
BaseRepresentation
bin100110011111101100010…
…110001001000000000000
3100100220011101120111112200
4212133230112021000000
5321320204222122143
65343133302153200
7362056510651044
oct46375426110000
910326141514480
102645370114048
1192a993512602
12368835122800
131625c39ac1bc
14920725c8024
1548c2aee71d3
hex267ec589000

2645370114048 has 312 divisors, whose sum is σ = 7907206095360. Its totient is φ = 851239895040.

The previous prime is 2645370114047. The next prime is 2645370114067. The reversal of 2645370114048 is 8404110735462.

2645370114048 is a `hidden beast` number, since 2 + 64 + 537 + 0 + 1 + 14 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2645370113994 and 2645370114012.

It is not an unprimeable number, because it can be changed into a prime (2645370114047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501679540 + ... + 501684812.

It is an arithmetic number, because the mean of its divisors is an integer number (25343609280).

Almost surely, 22645370114048 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 2645370114048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953603047680).

2645370114048 is an abundant number, since it is smaller than the sum of its proper divisors (5261835981312).

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

2645370114048 is a wasteful number, since it uses less digits than its factorization.

2645370114048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2645370114048 in words is "two trillion, six hundred forty-five billion, three hundred seventy million, one hundred fourteen thousand, forty-eight".