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39054068424 = 23327443174917
BaseRepresentation
bin100100010111110011…
…011100101011001000
310201210202010020022200
4210113303130223020
51114440320142144
625535144120200
72551540050540
oct442763345310
9121722106280
1039054068424
1115621004708
12769b166060
1338b50c6537
141c66ad6320
151038935c69
hex917cdcac8

39054068424 has 96 divisors (see below), whose sum is σ = 121155203520. Its totient is φ = 11133053568.

The previous prime is 39054068423. The next prime is 39054068437. The reversal of 39054068424 is 42486045093.

39054068424 is a `hidden beast` number, since 3 + 9 + 0 + 540 + 6 + 84 + 24 = 666.

39054068424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 39054068424.

It is not an unprimeable number, because it can be changed into a prime (39054068423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135814 + ... + 310730.

It is an arithmetic number, because the mean of its divisors is an integer number (1262033370).

Almost surely, 239054068424 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 39054068424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60577601760).

39054068424 is an abundant number, since it is smaller than the sum of its proper divisors (82101135096).

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

39054068424 is a wasteful number, since it uses less digits than its factorization.

39054068424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175379 (or 175372 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 39054068424 in words is "thirty-nine billion, fifty-four million, sixty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 443 504 886 1329 1772 2658 3101 3544 3987 5316 6202 7974 9303 10632 12404 15948 18606 24808 27909 31896 37212 55818 74424 111636 174917 223272 349834 524751 699668 1049502 1224419 1399336 1574253 2099004 2448838 3148506 3673257 4198008 4897676 6297012 7346514 9795352 11019771 12594024 14693028 22039542 29386056 44079084 77488231 88158168 154976462 232464693 309952924 464929386 542417617 619905848 697394079 929858772 1084835234 1394788158 1627252851 1859717544 2169670468 2789576316 3254505702 4339340936 4881758553 5579152632 6509011404 9763517106 13018022808 19527034212 39054068424