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5102411490 = 2325112617681
BaseRepresentation
bin1001100000010000…
…01001111011100010
3111011121002100201100
410300020021323202
540422204131430
62202150215230
7240304532151
oct46010117342
914147070640
105102411490
1121891a6300
12ba4954516
13634137bc7
1436591d598
151ece35960
hex130209ee2

5102411490 has 144 divisors (see below), whose sum is σ = 14822910648. Its totient is φ = 1216512000.

The previous prime is 5102411477. The next prime is 5102411507. The reversal of 5102411490 is 941142015.

5102411490 is a `hidden beast` number, since 510 + 2 + 4 + 1 + 149 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3173181561 + 1929229929 = 56331^2 + 43923^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 660450 + ... + 668130.

Almost surely, 25102411490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5102411490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7411455324).

5102411490 is an abundant number, since it is smaller than the sum of its proper divisors (9720499158).

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

5102411490 is a wasteful number, since it uses less digits than its factorization.

5102411490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7777 (or 7763 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5102411490 is about 71431.1660971596. The cubic root of 5102411490 is about 1721.5718785804.

The spelling of 5102411490 in words is "five billion, one hundred two million, four hundred eleven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 61 66 90 99 110 121 122 165 183 198 242 305 330 363 366 495 549 605 610 671 726 915 990 1089 1098 1210 1342 1815 1830 2013 2178 2745 3355 3630 4026 5445 5490 6039 6710 7381 7681 10065 10890 12078 14762 15362 20130 22143 23043 30195 36905 38405 44286 46086 60390 66429 69129 73810 76810 84491 110715 115215 132858 138258 168982 221430 230430 253473 332145 345645 422455 468541 506946 664290 691290 760419 844910 929401 937082 1267365 1405623 1520838 1858802 2342705 2534730 2788203 2811246 3802095 4216869 4647005 4685410 5153951 5576406 7028115 7604190 8364609 8433738 9294010 10307902 13941015 14056230 15461853 16729218 21084345 25769755 27882030 30923706 41823045 42168690 46385559 51539510 56693461 77309265 83646090 92771118 113386922 154618530 170080383 231927795 283467305 340160766 463855590 510241149 566934610 850401915 1020482298 1700803830 2551205745 5102411490