Search a number
-
+
5150106015165 = 3259710173315937
BaseRepresentation
bin100101011110001101000…
…1111010101010110111101
3200020100022202001202202100
41022330122033111112331
51133334404114441130
614541532005215313
71041040266560406
oct112743217252675
920210282052670
105150106015165
111706169645451
126b2160101539
132b48645b2097
1413b3a32529ad
158de75792c60
hex4af1a3d55bd

5150106015165 has 96 divisors (see below), whose sum is σ = 9121173830496. Its totient is φ = 2687651020800.

The previous prime is 5150106015157. The next prime is 5150106015167. The reversal of 5150106015165 is 5615106010515.

It is a happy number.

5150106015165 is a `hidden beast` number, since 515 + 0 + 10 + 60 + 15 + 1 + 65 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 258904915929 + 4891201099236 = 508827^2 + 2211606^2 .

It is not a de Polignac number, because 5150106015165 - 23 = 5150106015157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5150106015167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 323146077 + ... + 323162013.

It is an arithmetic number, because the mean of its divisors is an integer number (95012227401).

Almost surely, 25150106015165 is an apocalyptic number.

It is an amenable number.

5150106015165 is a deficient number, since it is larger than the sum of its proper divisors (3971067815331).

5150106015165 is a wasteful number, since it uses less digits than its factorization.

5150106015165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16879 (or 16876 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 5150106015165 in words is "five trillion, one hundred fifty billion, one hundred six million, fifteen thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 45 97 101 291 303 485 505 733 873 909 1455 1515 2199 3665 4365 4545 6597 9797 10995 15937 29391 32985 47811 48985 71101 74033 79685 88173 143433 146955 213303 222099 239055 355505 370165 440865 639909 666297 717165 1066515 1110495 1545889 1609637 3199545 3331485 4637667 4828911 7181201 7729445 8048185 11681821 13913001 14486733 21543603 23188335 24144555 35045463 35906005 58409105 64630809 69565005 72433665 105136389 107718015 156134789 175227315 323154045 468404367 525681945 780673945 1133136637 1179863921 1405213101 2342021835 3399409911 3539591763 5665683185 5899319605 7026065505 10198229733 10618775289 16997049555 17697958815 50991148665 53093876445 114446800337 343340401011 572234001685 1030021203033 1716702005055 5150106015165