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9978544032 = 253197374941
BaseRepresentation
bin10010100101100010…
…00111111110100000
3221202102101120001220
421102301013332200
5130414001402112
64330054455040
7502164140052
oct112261077640
927672346056
109978544032
11426069a906
121b25964480
13c30417432
146a93798d2
153d607098c
hex252c47fa0

9978544032 has 96 divisors (see below), whose sum is σ = 27950368320. Its totient is φ = 3107911680.

The previous prime is 9978544021. The next prime is 9978544061. The reversal of 9978544032 is 2304458799.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95682 + ... + 170622.

It is an arithmetic number, because the mean of its divisors is an integer number (291149670).

Almost surely, 29978544032 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 9978544032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13975184160).

9978544032 is an abundant number, since it is smaller than the sum of its proper divisors (17971824288).

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

9978544032 is a wasteful number, since it uses less digits than its factorization.

9978544032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75046 (or 75038 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 9978544032 is about 99892.6625533627. The cubic root of 9978544032 is about 2152.8927373103.

The spelling of 9978544032 in words is "nine billion, nine hundred seventy-eight million, five hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 73 76 96 114 146 152 219 228 292 304 438 456 584 608 876 912 1168 1387 1752 1824 2336 2774 3504 4161 5548 7008 8322 11096 16644 22192 33288 44384 66576 74941 133152 149882 224823 299764 449646 599528 899292 1199056 1423879 1798584 2398112 2847758 3597168 4271637 5470693 5695516 7194336 8543274 10941386 11391032 16412079 17086548 21882772 22782064 32824158 34173096 43765544 45564128 65648316 68346192 87531088 103943167 131296632 136692384 175062176 207886334 262593264 311829501 415772668 525186528 623659002 831545336 1247318004 1663090672 2494636008 3326181344 4989272016 9978544032