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253082276096 = 2813109697673
BaseRepresentation
bin1110101110110011100…
…0010001000100000000
3220012020201221201001012
43223230320101010000
513121303030313341
6312133035300052
724166420565306
oct3535470210400
9805221851035
10253082276096
119837138a971
12410708aa628
131ab3381c7c0
14c36bd14276
1568b37110eb
hex3aece11100

253082276096 has 72 divisors (see below), whose sum is σ = 549027577560. Its totient is φ = 115735412736.

The previous prime is 253082276093. The next prime is 253082276123. The reversal of 253082276096 is 690672280352.

It can be written as a sum of positive squares in 4 ways, for example, as 30298276096 + 222784000000 = 174064^2 + 472000^2 .

It is not an unprimeable number, because it can be changed into a prime (253082276093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13916 + ... + 711588.

Almost surely, 2253082276096 is an apocalyptic number.

253082276096 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 253082276096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274513788780).

253082276096 is an abundant number, since it is smaller than the sum of its proper divisors (295945301464).

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

253082276096 is a wasteful number, since it uses less digits than its factorization.

253082276096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697811 (or 697797 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 253082276096 in words is "two hundred fifty-three billion, eighty-two million, two hundred seventy-six thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 109 128 208 218 256 416 436 832 872 1417 1664 1744 2834 3328 3488 5668 6976 11336 13952 22672 27904 45344 90688 181376 362752 697673 1395346 2790692 5581384 9069749 11162768 18139498 22325536 36278996 44651072 72557992 76046357 89302144 145115984 152092714 178604288 290231968 304185428 580463936 608370856 988602641 1160927872 1216741712 1977205282 2321855744 2433483424 3954410564 4866966848 7908821128 9733933696 15817642256 19467867392 31635284512 63270569024 126541138048 253082276096