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39030117984 = 2532111319311609
BaseRepresentation
bin100100010110011000…
…000101011001100000
310201202002001102111100
4210112120011121200
51114413202233414
625532530514400
72551126346304
oct442630053140
9121662042440
1039030117984
1115609536360
127693135a00
1338b015bc90
141c6385dd04
1510367a4609
hex916605660

39030117984 has 576 divisors, whose sum is σ = 141774796800. Its totient is φ = 10003046400.

The previous prime is 39030117949. The next prime is 39030117989. The reversal of 39030117984 is 48971103093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39030117989) 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 95 ways as a sum of consecutive naturals, for example, 24256572 + ... + 24258180.

It is an arithmetic number, because the mean of its divisors is an integer number (246136800).

Almost surely, 239030117984 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 39030117984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70887398400).

39030117984 is an abundant number, since it is smaller than the sum of its proper divisors (102744678816).

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

39030117984 is a wasteful number, since it uses less digits than its factorization.

39030117984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 39030117984 in words is "thirty-nine billion, thirty million, one hundred seventeen thousand, nine hundred eighty-four".