Search a number
-
+
19840131025 = 521121321972
BaseRepresentation
bin10010011110100100…
…000101111111010001
31220012200201002020121
4102132210011333101
5311113033143100
613040414510241
71301441221411
oct223644057721
956180632217
1019840131025
118461267100
123a18505381
131b42531a00
14d62d8c641
157b1bdc51a
hex49e905fd1

19840131025 has 81 divisors (see below), whose sum is σ = 29431132563. Its totient is φ = 13251638400.

The previous prime is 19840131007. The next prime is 19840131029. The reversal of 19840131025 is 52013104891.

The square root of 19840131025 is 140855.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 7749809089 + 12090321936 = 88033^2 + 109956^2 .

It is not a de Polignac number, because 19840131025 - 211 = 19840128977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19840131029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 100711227 + ... + 100711423.

Almost surely, 219840131025 is an apocalyptic number.

19840131025 is the 140855-th square number.

19840131025 is the 70428-th centered octagonal number.

It is an amenable number.

19840131025 is a deficient number, since it is larger than the sum of its proper divisors (9591001538).

19840131025 is a wasteful number, since it uses less digits than its factorization.

19840131025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 19840131025 in words is "nineteen billion, eight hundred forty million, one hundred thirty-one thousand, twenty-five".

Divisors: 1 5 11 13 25 55 65 121 143 169 197 275 325 605 715 845 985 1573 1859 2167 2561 3025 3575 4225 4925 7865 9295 10835 12805 20449 23837 28171 33293 38809 39325 46475 54175 64025 102245 119185 140855 166465 194045 309881 366223 426899 504517 511225 595925 704275 832325 970225 1549405 1831115 2134495 2522585 4028453 4695889 5549687 6558721 7747025 9155575 10672475 12612925 20142265 23479445 27748435 32793605 61046557 72145931 100711325 117397225 138742175 163968025 305232785 360729655 793605241 1526163925 1803648275 3968026205 19840131025