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245047172260 = 225117925515527
BaseRepresentation
bin1110010000110111110…
…0110001110010100100
3212102111202111010201211
43210031330301302210
513003324034003020
6304323443201204
723463332411512
oct3441574616244
9772452433654
10245047172260
1194a18816490
123b5a9976204
131a152c385a7
14bc08b0d4b2
1565930ce85a
hex390df31ca4

245047172260 has 96 divisors (see below), whose sum is σ = 568812625920. Its totient is φ = 87929712000.

The previous prime is 245047172219. The next prime is 245047172261. The reversal of 245047172260 is 62271740542.

245047172260 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 2×2450471722602 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (245047172261) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 44333617 + ... + 44339143.

It is an arithmetic number, because the mean of its divisors is an integer number (5925131520).

Almost surely, 2245047172260 is an apocalyptic number.

245047172260 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 245047172260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284406312960).

245047172260 is an abundant number, since it is smaller than the sum of its proper divisors (323765453660).

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

245047172260 is a wasteful number, since it uses less digits than its factorization.

245047172260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8177 (or 8175 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The spelling of 245047172260 in words is "two hundred forty-five billion, forty-seven million, one hundred seventy-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 2551 3476 4345 5102 5527 8690 10204 11054 12755 17380 22108 25510 27635 28061 51020 55270 56122 60797 110540 112244 121594 140305 201529 243188 280610 303985 403058 436633 561220 607970 806116 873266 1007645 1215940 1746532 2015290 2183165 2216819 4030580 4366330 4433638 4802963 8732660 8867276 9605926 11084095 14099377 19211852 22168190 24014815 28198754 44336380 48029630 56397508 70496885 96059260 140993770 155093147 281987540 310186294 620372588 775465735 1113850783 1550931470 2227701566 3101862940 4455403132 5569253915 11138507830 12252358613 22277015660 24504717226 49009434452 61261793065 122523586130 245047172260