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39034805472 = 2533134773943
BaseRepresentation
bin100100010110101001…
…111101110011100000
310201202101212120112000
4210112221331303200
51114420402233342
625533215204000
72551214241405
oct442651756340
9121671776460
1039034805472
1115611148113
127694816600
1338b1110740
141c643202ac
151036dcd44c
hex916a7dce0

39034805472 has 192 divisors, whose sum is σ = 125219727360. Its totient is φ = 11755003392.

The previous prime is 39034805449. The next prime is 39034805539. The reversal of 39034805472 is 27450843093.

39034805472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×390348054722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490933 + ... + 564875.

It is an arithmetic number, because the mean of its divisors is an integer number (652186080).

Almost surely, 239034805472 is an apocalyptic number.

39034805472 is a gapful number since it is divisible by the number (32) 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 39034805472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62609863680).

39034805472 is an abundant number, since it is smaller than the sum of its proper divisors (86184921888).

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

39034805472 is a wasteful number, since it uses less digits than its factorization.

39034805472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74022 (or 74008 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 39034805472 in words is "thirty-nine billion, thirty-four million, eight hundred five thousand, four hundred seventy-two".