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10914537984 = 293767109139
BaseRepresentation
bin10100010101000111…
…01010001000000000
31001011122121222101120
422022203222020000
5134323110203414
65003012232240
7534321020310
oct121243521000
931148558346
1010914537984
1146a0a76a29
12214730b680
13104c3040cc
147577c5440
1543d30c2a9
hex28a8ea200

10914537984 has 320 divisors, whose sum is σ = 34281139200. Its totient is φ = 3021815808.

The previous prime is 10914537941. The next prime is 10914538003. The reversal of 10914537984 is 48973541901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78521787 + ... + 78521925.

It is an arithmetic number, because the mean of its divisors is an integer number (107128560).

Almost surely, 210914537984 is an apocalyptic number.

10914537984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10914537984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17140569600).

10914537984 is an abundant number, since it is smaller than the sum of its proper divisors (23366601216).

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

10914537984 is a wasteful number, since it uses less digits than its factorization.

10914537984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 10914537984 in words is "ten billion, nine hundred fourteen million, five hundred thirty-seven thousand, nine hundred eighty-four".