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9948133056 = 26354195773
BaseRepresentation
bin10010100001111010…
…00111011011000000
3221200022011112001110
421100331013123000
5130333210224211
64323051003320
7501344510241
oct112075073300
927608145043
109948133056
114245509674
121b17739540
13c2702a384
146a5300cc8
153d3564ea6
hex250f476c0

9948133056 has 56 divisors (see below), whose sum is σ = 26370030064. Its totient is φ = 3309880320.

The previous prime is 9948133037. The next prime is 9948133079. The reversal of 9948133056 is 6503318499.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 9948132996 and 9948133014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55986 + ... + 151758.

It is an arithmetic number, because the mean of its divisors is an integer number (470893394).

Almost surely, 29948133056 is an apocalyptic number.

9948133056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9948133056 is an abundant number, since it is smaller than the sum of its proper divisors (16421897008).

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

9948133056 is a wasteful number, since it uses less digits than its factorization.

9948133056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96329 (or 96319 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 9948133056 is about 99740.3281326064. The cubic root of 9948133056 is about 2150.7034335007.

The spelling of 9948133056 in words is "nine billion, nine hundred forty-eight million, one hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 541 1082 1623 2164 3246 4328 6492 8656 12984 17312 25968 34624 51936 95773 103872 191546 287319 383092 574638 766184 1149276 1532368 2298552 3064736 4597104 6129472 9194208 18388416 51813193 103626386 155439579 207252772 310879158 414505544 621758316 829011088 1243516632 1658022176 2487033264 3316044352 4974066528 9948133056