Search a number
-
+
5251207287136 = 253171540713789
BaseRepresentation
bin100110001101010010001…
…0110000101000101100000
3200121000021122221112010211
41030122210112011011200
51142013433031142021
615100212112303504
71051246545320356
oct114324426050540
920530248845124
105251207287136
11174502a684478
12709876841b94
132c12572c9435
141422346637d6
15918e15153e1
hex4c6a4585160

5251207287136 has 96 divisors (see below), whose sum is σ = 10824902000640. Its totient is φ = 2504474380800.

The previous prime is 5251207287133. The next prime is 5251207287149. The reversal of 5251207287136 is 6317827021525.

It is a self number, because there is not a number n which added to its sum of digits gives 5251207287136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5251207287133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380818930 + ... + 380832718.

It is an arithmetic number, because the mean of its divisors is an integer number (112759395840).

Almost surely, 25251207287136 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 5251207287136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5412451000320).

5251207287136 is an abundant number, since it is smaller than the sum of its proper divisors (5573694713504).

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

5251207287136 is a wasteful number, since it uses less digits than its factorization.

5251207287136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19308 (or 19300 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 49.

The spelling of 5251207287136 in words is "five trillion, two hundred fifty-one billion, two hundred seven million, two hundred eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 71 124 142 248 284 496 568 992 1136 2201 2272 4402 5407 8804 10814 13789 17608 21628 27578 35216 43256 55156 70432 86512 110312 167617 173024 220624 335234 383897 427459 441248 670468 767794 854918 979019 1340936 1535588 1709836 1958038 2681872 3071176 3419672 3916076 5363744 6142352 6839344 7832152 11900807 12284704 13678688 15664304 23801614 30349589 31328608 47603228 60699178 74557123 95206456 121398356 149114246 190412912 242796712 298228492 380825824 485593424 596456984 971186848 1192913968 2311270813 2385827936 4622541626 5293555733 9245083252 10587111466 18490166504 21174222932 36980333008 42348445864 73960666016 84696891728 164100227723 169393783456 328200455446 656400910892 1312801821784 2625603643568 5251207287136