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9964912356 = 2233719169011
BaseRepresentation
bin10010100011111010…
…00111111011100100
3221201110201222221000
421101331013323210
5130402004143411
64324450353300
7501640233420
oct112175077344
927643658830
109964912356
114253a2a163
121b2128b830
13c2a653859
146a762bb80
153d4c7b956
hex251f47ee4

9964912356 has 96 divisors (see below), whose sum is σ = 29680680960. Its totient is φ = 2832170400.

The previous prime is 9964912339. The next prime is 9964912361. The reversal of 9964912356 is 6532194699.

It is a super-2 number, since 2×99649123562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 109891 + ... + 178901.

It is an arithmetic number, because the mean of its divisors is an integer number (309173760).

Almost surely, 29964912356 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 9964912356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14840340480).

9964912356 is an abundant number, since it is smaller than the sum of its proper divisors (19715768604).

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

9964912356 is a wasteful number, since it uses less digits than its factorization.

9964912356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69222 (or 69214 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The square root of 9964912356 is about 99824.4076165744. The cubic root of 9964912356 is about 2151.9119358964.

The spelling of 9964912356 in words is "nine billion, nine hundred sixty-four million, nine hundred twelve thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 191 252 378 382 573 756 764 1146 1337 1719 2292 2674 3438 4011 5157 5348 6876 8022 10314 12033 16044 20628 24066 36099 48132 69011 72198 138022 144396 207033 276044 414066 483077 621099 828132 966154 1242198 1449231 1863297 1932308 2484396 2898462 3726594 4347693 5796924 7453188 8695386 13043079 13181101 17390772 26086158 26362202 39543303 52172316 52724404 79086606 92267707 118629909 158173212 184535414 237259818 276803121 355889727 369070828 474519636 553606242 711779454 830409363 1107212484 1423558908 1660818726 2491228089 3321637452 4982456178 9964912356