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9978430848 = 27335972383
BaseRepresentation
bin10010100101100001…
…01100010110000000
3221202102011210210220
421102300230112000
5130413434241343
64330052223040
7502163156061
oct112260542600
927672153726
109978430848
114260622871
121b2590aa80
13c303a7a69
146a934a568
153d604c183
hex252c2c580

9978430848 has 64 divisors (see below), whose sum is σ = 26579404800. Its totient is φ = 3316832768.

The previous prime is 9978430831. The next prime is 9978430871. The reversal of 9978430848 is 8480348799.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 9978430791 and 9978430800.

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, 101665 + ... + 174047.

It is an arithmetic number, because the mean of its divisors is an integer number (415303200).

Almost surely, 29978430848 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 9978430848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13289702400).

9978430848 is an abundant number, since it is smaller than the sum of its proper divisors (16600973952).

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

9978430848 is a wasteful number, since it uses less digits than its factorization.

9978430848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72759 (or 72747 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The square root of 9978430848 is about 99892.0960236594. The cubic root of 9978430848 is about 2152.8845973809.

It can be divided in two parts, 9978430 and 848, that added together give a triangular number (9979278 = T4467).

The spelling of 9978430848 in words is "nine billion, nine hundred seventy-eight million, four hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 359 384 718 1077 1436 2154 2872 4308 5744 8616 11488 17232 22976 34464 45952 68928 72383 137856 144766 217149 289532 434298 579064 868596 1158128 1737192 2316256 3474384 4632512 6948768 9265024 13897536 25985497 27795072 51970994 77956491 103941988 155912982 207883976 311825964 415767952 623651928 831535904 1247303856 1663071808 2494607712 3326143616 4989215424 9978430848