Search a number
-
+
48676882365150 = 23521328438780339
BaseRepresentation
bin10110001000101011110000…
…10010000011101011011110
320101100110112121220021122120
423010111320102003223132
522340010223341141100
6251305503454323410
713152534344166204
oct1304257022035336
9211313477807576
1048676882365150
1114567828100756
125561aa54b9566
132121297090180
14c03d8baad074
155962e64400a0
hex2c4578483ade

48676882365150 has 96 divisors (see below), whose sum is σ = 130050462487680. Its totient is φ = 11977785886080.

The previous prime is 48676882365131. The next prime is 48676882365187. The reversal of 48676882365150 is 5156328867684.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153681 + ... + 9934019.

It is an arithmetic number, because the mean of its divisors is an integer number (1354692317580).

Almost surely, 248676882365150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48676882365150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65025231243840).

48676882365150 is an abundant number, since it is smaller than the sum of its proper divisors (81373580122530).

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

48676882365150 is a wasteful number, since it uses less digits than its factorization.

48676882365150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8783210 (or 8783205 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 69.

The spelling of 48676882365150 in words is "forty-eight trillion, six hundred seventy-six billion, eight hundred eighty-two million, three hundred sixty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1950 2843 5686 8529 14215 17058 28430 36959 42645 71075 73918 85290 110877 142150 184795 213225 221754 369590 426450 554385 923975 1108770 1847950 2771925 5543850 8780339 17560678 26341017 43901695 52682034 87803390 114144407 131705085 219508475 228288814 263410170 342433221 439016950 570722035 658525425 684866442 1141444070 1317050850 1712166105 2853610175 3424332210 5707220350 8560830525 17121661050 24962503777 49925007554 74887511331 124812518885 149775022662 249625037770 324512549101 374437556655 624062594425 649025098202 748875113310 973537647303 1248125188850 1622562745505 1872187783275 1947075294606 3245125491010 3744375566550 4867688236515 8112813727525 9735376473030 16225627455050 24338441182575 48676882365150