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39372379136 = 2101016172
BaseRepresentation
bin100100101010110001…
…101101010000000000
310202121221002002112022
4210222301231100000
51121113312113021
630030514421012
72562453462236
oct445261552000
9122557062468
1039372379136
1115774755212
127769891768
13393603587c
141c970b4956
1510568601ab
hex92ac6d400

39372379136 has 66 divisors (see below), whose sum is σ = 79614613758. Its totient is φ = 19459686400.

The previous prime is 39372379103. The next prime is 39372379141. The reversal of 39372379136 is 63197327393.

It can be written as a sum of positive squares in 3 ways, for example, as 200052736 + 39172326400 = 14144^2 + 197920^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 63812300 + ... + 63812916.

Almost surely, 239372379136 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 39372379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39807306879).

39372379136 is an abundant number, since it is smaller than the sum of its proper divisors (40242234622).

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

39372379136 is an frugal number, since it uses more digits than its factorization.

39372379136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 720 counting only the distinct ones).

The product of its digits is 3857868, while the sum is 53.

The spelling of 39372379136 in words is "thirty-nine billion, three hundred seventy-two million, three hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 617 808 1024 1234 1616 2468 3232 4936 6464 9872 12928 19744 25856 39488 51712 62317 78976 103424 124634 157952 249268 315904 380689 498536 631808 761378 997072 1522756 1994144 3045512 3988288 6091024 7976576 12182048 15953152 24364096 31906304 38449589 48728192 63812608 76899178 97456384 153798356 194912768 307596712 389825536 615193424 1230386848 2460773696 4921547392 9843094784 19686189568 39372379136