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934084067840 = 29572112194179
BaseRepresentation
bin11011001011110111011…
…11111100001000000000
310022022000220222010110022
431211323233330020000
5110301001010132330
61553040131153012
7124325321400500
oct15457357741000
93268026863408
10934084067840
11330163117500
12131046a45768
136a111cc86a1
14332d1dc9a00
151946e984ae5
hexd97bbfc200

934084067840 has 1440 divisors, whose sum is σ = 3126962361600. Its totient is φ = 265686220800.

The previous prime is 934084067759. The next prime is 934084067849. The reversal of 934084067840 is 48760480439.

It is not an unprimeable number, because it can be changed into a prime (934084067849) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11823848921 + ... + 11823848999.

It is an arithmetic number, because the mean of its divisors is an integer number (2171501640).

Almost surely, 2934084067840 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 934084067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563481180800).

934084067840 is an abundant number, since it is smaller than the sum of its proper divisors (2192878293760).

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

934084067840 is a wasteful number, since it uses less digits than its factorization.

934084067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 53.

The spelling of 934084067840 in words is "nine hundred thirty-four billion, eighty-four million, sixty-seven thousand, eight hundred forty".