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2648907034956 = 22327213247971949
BaseRepresentation
bin100110100010111111001…
…010011011000101001100
3100101020021212220200220100
4212202333022123011030
5321344430200104311
65344520250451100
7362243246202600
oct46427712330514
910336255820810
102648907034956
11931438a67636
12369461733a90
13162a386a4a00
14922ca237500
1548d86798a56
hex268bf29b14c

2648907034956 has 648 divisors, whose sum is σ = 8707014388800. Its totient is φ = 676352581632.

The previous prime is 2648907034931. The next prime is 2648907034973. The reversal of 2648907034956 is 6594307098462.

2648907034956 is a `hidden beast` number, since 2 + 6 + 489 + 0 + 70 + 34 + 9 + 56 = 666.

2648907034956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2648907034893 and 2648907034902.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1359109870 + ... + 1359111818.

It is an arithmetic number, because the mean of its divisors is an integer number (13436750600).

Almost surely, 22648907034956 is an apocalyptic number.

2648907034956 is a gapful number since it is divisible by the number (26) 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 2648907034956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353507194400).

2648907034956 is an abundant number, since it is smaller than the sum of its proper divisors (6058107353844).

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

2648907034956 is a wasteful number, since it uses less digits than its factorization.

2648907034956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 2648907034956 in words is "two trillion, six hundred forty-eight billion, nine hundred seven million, thirty-four thousand, nine hundred fifty-six".