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40333692672 = 2832713192373
BaseRepresentation
bin100101100100000100…
…110100111100000000
310212002220221212210100
4211210010310330000
51130100411131142
630310135002400
72625335505510
oct454404647400
9125086855710
1040333692672
1116118355309
127997809400
133a5a249050
141d48a31840
1510b0e4db4c
hex964134f00

40333692672 has 216 divisors, whose sum is σ = 143129333984. Its totient is φ = 10637402112.

The previous prime is 40333692667. The next prime is 40333692673. The reversal of 40333692672 is 27629633304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40333692673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113478 + ... + 305850.

Almost surely, 240333692672 is an apocalyptic number.

40333692672 is a gapful number since it is divisible by the number (42) 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 40333692672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71564666992).

40333692672 is an abundant number, since it is smaller than the sum of its proper divisors (102795641312).

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

40333692672 is a wasteful number, since it uses less digits than its factorization.

40333692672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192415 (or 192398 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 40333692672 in words is "forty billion, three hundred thirty-three million, six hundred ninety-two thousand, six hundred seventy-two".