Search a number
-
+
5082166923520 = 28579110945319
BaseRepresentation
bin100100111110100100011…
…0000010001000100000000
3122222211221221200022122211
41021331020300101010000
51131231234213023040
614450414254511504
71033113556042051
oct111751060210400
918884857608584
105082166923520
11168a375811325
126a0b5b505594
132ab32811933b
14137d9a22c728
158c2eb0768ea
hex49f48c11100

5082166923520 has 144 divisors (see below), whose sum is σ = 12338859456000. Its totient is φ = 2005280169984.

The previous prime is 5082166923481. The next prime is 5082166923523. The reversal of 5082166923520 is 253296612805.

It is not an unprimeable number, because it can be changed into a prime (5082166923523) 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, 112119421 + ... + 112164739.

It is an arithmetic number, because the mean of its divisors is an integer number (85686524000).

Almost surely, 25082166923520 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 5082166923520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169429728000).

5082166923520 is an abundant number, since it is smaller than the sum of its proper divisors (7256692532480).

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

5082166923520 is a wasteful number, since it uses less digits than its factorization.

5082166923520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46528 (or 46514 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The spelling of 5082166923520 in words is "five trillion, eighty-two billion, one hundred sixty-six million, nine hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 256 316 320 395 632 640 790 1109 1264 1280 1580 2218 2528 3160 4436 5056 5545 6320 8872 10112 11090 12640 17744 20224 22180 25280 35488 44360 45319 50560 70976 87611 88720 90638 101120 141952 175222 177440 181276 226595 283904 350444 354880 362552 438055 453190 700888 709760 725104 876110 906380 1401776 1419520 1450208 1752220 1812760 2803552 2900416 3504440 3580201 3625520 5607104 5800832 7008880 7160402 7251040 11214208 11601664 14017760 14320804 14502080 17901005 22428416 28035520 28641608 29004160 35802010 50258771 56071040 57283216 58008320 71604020 100517542 112142080 114566432 143208040 201035084 229132864 251293855 286416080 402070168 458265728 502587710 572832160 804140336 916531456 1005175420 1145664320 1608280672 2010350840 2291328640 3216561344 3970442909 4020701680 4582657280 6433122688 7940885818 8041403360 12866245376 15881771636 16082806720 19852214545 31763543272 32165613440 39704429090 63527086544 64331226880 79408858180 127054173088 158817716360 254108346176 317635432720 508216692352 635270865440 1016433384704 1270541730880 2541083461760 5082166923520