Search a number
-
+
24961600740 = 22351931769073
BaseRepresentation
bin10111001111110100…
…111100110011100100
32101102121122200221010
4113033310330303210
5402110132210430
615244525422220
71542400051116
oct271764746344
971377580833
1024961600740
11a64a19a0aa
124a0770a970
13247a5b046b
1412cb22d3b6
159b1639cb0
hex5cfd3cce4

24961600740 has 96 divisors (see below), whose sum is σ = 73804187520. Its totient is φ = 6286104576.

The previous prime is 24961600733. The next prime is 24961600777. The reversal of 24961600740 is 4700616942.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326844 + ... + 395916.

It is an arithmetic number, because the mean of its divisors is an integer number (768793620).

Almost surely, 224961600740 is an apocalyptic number.

24961600740 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 24961600740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36902093760).

24961600740 is an abundant number, since it is smaller than the sum of its proper divisors (48842586780).

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

24961600740 is a wasteful number, since it uses less digits than its factorization.

24961600740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69421 (or 69419 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 24961600740 in words is "twenty-four billion, nine hundred sixty-one million, six hundred thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 317 380 570 634 951 1140 1268 1585 1902 3170 3804 4755 6023 6340 9510 12046 18069 19020 24092 30115 36138 60230 69073 72276 90345 120460 138146 180690 207219 276292 345365 361380 414438 690730 828876 1036095 1312387 1381460 2072190 2624774 3937161 4144380 5249548 6561935 7874322 13123870 15748644 19685805 21896141 26247740 39371610 43792282 65688423 78743220 87584564 109480705 131376846 218961410 262753692 328442115 416026679 437922820 656884230 832053358 1248080037 1313768460 1664106716 2080133395 2496160074 4160266790 4992320148 6240400185 8320533580 12480800370 24961600740