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2209026630048 = 253717254376039
BaseRepresentation
bin100000001001010100001…
…111110110000110100000
321211011212212022212000220
4200021110033312012200
5242143041304130143
64410451323043040
7315411511354530
oct40112417660640
97734785285026
102209026630048
1178192aa41817
122b815a670480
131304059c8954
1478cbb7194c0
153c6ddb3dd83
hex202543f61a0

2209026630048 has 192 divisors, whose sum is σ = 7019759738880. Its totient is φ = 593782566912.

The previous prime is 2209026630023. The next prime is 2209026630053. The reversal of 2209026630048 is 8400366209022.

It is a super-2 number, since 2×22090266300482 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2209026629991 and 2209026630009.

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, 29013213 + ... + 29089251.

It is an arithmetic number, because the mean of its divisors is an integer number (36561248640).

Almost surely, 22209026630048 is an apocalyptic number.

2209026630048 is a gapful number since it is divisible by the number (28) 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 2209026630048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509879869440).

2209026630048 is an abundant number, since it is smaller than the sum of its proper divisors (4810733108832).

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

2209026630048 is a wasteful number, since it uses less digits than its factorization.

2209026630048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78619 (or 78611 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 2209026630048 in words is "two trillion, two hundred nine billion, twenty-six million, six hundred thirty thousand, forty-eight".