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9948108544 = 28116752727
BaseRepresentation
bin10010100001111010…
…00001011100000000
3221200022010021102121
421100331001130000
5130333203433134
64323050254024
7501344345623
oct112075013400
927608107377
109948108544
1142454a2210
121b17727314
13c2701c17a
146a52d5dba
153d355cab4
hex250f41700

9948108544 has 72 divisors (see below), whose sum is σ = 21986310528. Its totient is φ = 4454292480.

The previous prime is 9948108509. The next prime is 9948108551. The reversal of 9948108544 is 4458018499.

It is a junction number, because it is equal to n+sod(n) for n = 9948108491 and 9948108500.

It is a congruent number.

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, 162309 + ... + 215035.

It is an arithmetic number, because the mean of its divisors is an integer number (305365424).

Almost surely, 29948108544 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 9948108544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10993155264).

9948108544 is an abundant number, since it is smaller than the sum of its proper divisors (12038201984).

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

9948108544 is a wasteful number, since it uses less digits than its factorization.

9948108544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52821 (or 52807 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The square root of 9948108544 is about 99740.2052534483. The cubic root of 9948108544 is about 2150.7016670693.

The spelling of 9948108544 in words is "nine billion, nine hundred forty-eight million, one hundred eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 176 256 268 352 536 704 737 1072 1408 1474 2144 2816 2948 4288 5896 8576 11792 17152 23584 47168 52727 94336 105454 188672 210908 421816 579997 843632 1159994 1687264 2319988 3374528 3532709 4639976 6749056 7065418 9279952 13498112 14130836 18559904 28261672 37119808 38859799 56523344 74239616 77719598 113046688 148479232 155439196 226093376 310878392 452186752 621756784 904373504 1243513568 2487027136 4974054272 9948108544