Search a number
-
+
5040715920102 = 23541985928817
BaseRepresentation
bin100100101011010001000…
…0101001111001011100110
3122211212222011022011200000
41021112202011033023212
51130041341233420402
614415401204002130
71030115432241432
oct111264205171346
918755864264600
105040715920102
1116738347a8a05
12694b11690346
132a745056b295
14135d870739c2
158b1c1ec2c1c
hex495a214f2e6

5040715920102 has 96 divisors (see below), whose sum is σ = 11366695267200. Its totient is φ = 1674219051648.

The previous prime is 5040715920101. The next prime is 5040715920103. The reversal of 5040715920102 is 2010295170405.

5040715920102 is a `hidden beast` number, since 50 + 4 + 0 + 7 + 1 + 592 + 0 + 10 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5040715920101) and next prime (5040715920103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040715920101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174907198 + ... + 174936014.

It is an arithmetic number, because the mean of its divisors is an integer number (118403075700).

Almost surely, 25040715920102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5040715920102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5683347633600).

5040715920102 is an abundant number, since it is smaller than the sum of its proper divisors (6325979347098).

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

5040715920102 is a wasteful number, since it uses less digits than its factorization.

5040715920102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30112 (or 30100 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 5040715920102 in words is "five trillion, forty billion, seven hundred fifteen million, nine hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 419 486 838 859 1257 1718 2514 2577 3771 5154 7542 7731 11313 15462 22626 23193 28817 33939 46386 57634 67878 69579 86451 101817 139158 172902 203634 208737 259353 359921 417474 518706 719842 778059 1079763 1556118 2159526 2334177 3239289 4668354 6478578 7002531 9717867 12074323 14005062 19435734 24148646 24753803 29153601 36222969 49507606 58307202 72445938 74261409 87460803 108668907 148522818 174921606 217337814 222784227 326006721 445568454 652013442 668352681 978020163 1336705362 1956040326 2005058043 2934060489 4010116086 5868120978 6015174129 10371843457 12030348258 20743686914 31115530371 62231060742 93346591113 186693182226 280039773339 560079546678 840119320017 1680238640034 2520357960051 5040715920102