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9134691931872 = 25321341427113933
BaseRepresentation
bin1000010011101101011000…
…0100010101011011100000
31012100021020101102220111200
42010323112010111123200
52144130322113304442
631232230342041200
71631650116205263
oct204732604253340
935307211386450
109134691931872
112a02001500101
121036445a19200
13513522b2bb70
1423819b37ccda
1510c9333e234c
hex84ed61156e0

9134691931872 has 288 divisors, whose sum is σ = 28666077987456. Its totient is φ = 2741282611200.

The previous prime is 9134691931867. The next prime is 9134691931901. The reversal of 9134691931872 is 2781391964319.

9134691931872 is a `hidden beast` number, since 9 + 1 + 3 + 469 + 1 + 93 + 1 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×91346919318722 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 655608618 + ... + 655622550.

It is an arithmetic number, because the mean of its divisors is an integer number (99534993012).

Almost surely, 29134691931872 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 9134691931872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14333038993728).

9134691931872 is an abundant number, since it is smaller than the sum of its proper divisors (19531386055584).

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

9134691931872 is a wasteful number, since it uses less digits than its factorization.

9134691931872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18274 (or 18263 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The spelling of 9134691931872 in words is "nine trillion, one hundred thirty-four billion, six hundred ninety-one million, nine hundred thirty-one thousand, eight hundred seventy-two".