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232839418040 = 23561577165383
BaseRepresentation
bin1101100011011001001…
…1111001000010111000
3211020222222102222011122
43120312103321002320
512303323342334130
6254544232444412
722551656253365
oct3306623710270
9736888388148
10232839418040
118a823866009
1239161549708
1318c58a33198
14b3ab69146c
1560cb4c22e5
hex36364f90b8

232839418040 has 64 divisors (see below), whose sum is σ = 533403092160. Its totient is φ = 91449630720.

The previous prime is 232839418027. The next prime is 232839418067. The reversal of 232839418040 is 40814938232.

232839418040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 232839417982 and 232839418000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1325189 + ... + 1490571.

It is an arithmetic number, because the mean of its divisors is an integer number (8334423315).

Almost surely, 2232839418040 is an apocalyptic number.

232839418040 is a gapful number since it is divisible by the number (20) 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 232839418040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266701546080).

232839418040 is an abundant number, since it is smaller than the sum of its proper divisors (300563674120).

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

232839418040 is a wasteful number, since it uses less digits than its factorization.

232839418040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166032 (or 166028 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 232839418040 in words is "two hundred thirty-two billion, eight hundred thirty-nine million, four hundred eighteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 577 610 1154 1220 2308 2440 2885 4616 5770 11540 23080 35197 70394 140788 165383 175985 281576 330766 351970 661532 703940 826915 1323064 1407880 1653830 3307660 6615320 10088363 20176726 40353452 50441815 80706904 95425991 100883630 190851982 201767260 381703964 403534520 477129955 763407928 954259910 1908519820 3817039640 5820985451 11641970902 23283941804 29104927255 46567883608 58209854510 116419709020 232839418040