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9948802680 = 23325139198817
BaseRepresentation
bin10010100001111111…
…01010111001111000
3221200100102112121100
421100333222321320
5130333343141210
64323113211400
7501353266425
oct112077527170
927610375540
109948802680
114245926783
121b17a00b60
13c272030bb
146a5436d4c
153d36485c0
hex250feae78

9948802680 has 96 divisors (see below), whose sum is σ = 32566388400. Its totient is φ = 2633914368.

The previous prime is 9948802649. The next prime is 9948802687. The reversal of 9948802680 is 862088499.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9948802687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49369 + ... + 149448.

Almost surely, 29948802680 is an apocalyptic number.

9948802680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9948802680 is an abundant number, since it is smaller than the sum of its proper divisors (22617585720).

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

9948802680 is a wasteful number, since it uses less digits than its factorization.

9948802680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198973 (or 198966 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 9948802680 is about 99743.6849128806. The cubic root of 9948802680 is about 2150.7516881269.

The spelling of 9948802680 in words is "nine billion, nine hundred forty-eight million, eight hundred two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 139 180 278 360 417 556 695 834 1112 1251 1390 1668 2085 2502 2780 3336 4170 5004 5560 6255 8340 10008 12510 16680 25020 50040 198817 397634 596451 795268 994085 1192902 1590536 1789353 1988170 2385804 2982255 3578706 3976340 4771608 5964510 7157412 7952680 8946765 11929020 14314824 17893530 23858040 27635563 35787060 55271126 71574120 82906689 110542252 138177815 165813378 221084504 248720067 276355630 331626756 414533445 497440134 552711260 663253512 829066890 994880268 1105422520 1243600335 1658133780 1989760536 2487200670 3316267560 4974401340 9948802680