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9964141278 = 2372137173503
BaseRepresentation
bin10010100011110100…
…01011101011011110
3221201102021211012120
421101322023223132
5130401310010103
64324422043410
7501630542400
oct112172135336
927642254176
109964141278
114253552903
121b20b79566
13c2a4438b0
146a74aab70
153d4b78253
hex251e8bade

9964141278 has 192 divisors, whose sum is σ = 25714547712. Its totient is φ = 2550320640.

The previous prime is 9964141273. The next prime is 9964141301. The reversal of 9964141278 is 8721414699.

It is a super-2 number, since 2×99641412782 (a number of 21 digits) contains 22 as substring.

Its product of digits (870912) is a multiple of the sum of its prime divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 9964141278.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9964141273) 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 95 ways as a sum of consecutive naturals, for example, 19809175 + ... + 19809677.

It is an arithmetic number, because the mean of its divisors is an integer number (133929936).

Almost surely, 29964141278 is an apocalyptic number.

9964141278 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9964141278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12857273856).

9964141278 is an abundant number, since it is smaller than the sum of its proper divisors (15750406434).

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

9964141278 is a wasteful number, since it uses less digits than its factorization.

9964141278 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 672 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 9964141278 is about 99820.5453701792. The cubic root of 9964141278 is about 2151.8564299808.

The spelling of 9964141278 in words is "nine billion, nine hundred sixty-four million, one hundred forty-one thousand, two hundred seventy-eight".