Search a number
-
+
21719841507 = 32713198915683
BaseRepresentation
bin10100001110100110…
…100111101011100011
32002001200201021021100
4110032212213223203
5323440234412012
613551123325443
71366144415040
oct241646475343
962050637240
1021719841507
119236314441
124261b20883
132081ab0430
1410a08941c7
15871c3d8dc
hex50e9a7ae3

21719841507 has 96 divisors (see below), whose sum is σ = 41104627200. Its totient is φ = 10731004416.

The previous prime is 21719841503. The next prime is 21719841569. The reversal of 21719841507 is 70514891712.

It is a happy number.

21719841507 is a `hidden beast` number, since 2 + 17 + 1 + 98 + 41 + 507 = 666.

It is not a de Polignac number, because 21719841507 - 22 = 21719841503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21719841503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1377088 + ... + 1392770.

It is an arithmetic number, because the mean of its divisors is an integer number (428173200).

Almost surely, 221719841507 is an apocalyptic number.

21719841507 is a deficient number, since it is larger than the sum of its proper divisors (19384785693).

21719841507 is a wasteful number, since it uses less digits than its factorization.

21719841507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15817 (or 15814 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 21719841507 in words is "twenty-one billion, seven hundred nineteen million, eight hundred forty-one thousand, five hundred seven".

Divisors: 1 3 7 9 13 19 21 39 57 63 89 91 117 133 171 247 267 273 399 623 741 801 819 1157 1197 1691 1729 1869 2223 3471 5073 5187 5607 8099 10413 11837 15219 15561 15683 21983 24297 35511 47049 65949 72891 106533 109781 141147 153881 197847 203879 297977 329343 461643 611637 893931 988029 1384929 1395787 1427153 1834911 2085839 2681793 3873701 4187361 4281459 6257517 9770509 11621103 12562083 12844377 18145231 18772551 26519953 27115907 29311527 34863309 54435693 79559859 81347721 87934581 127016617 163307079 185639671 238679577 244043163 344759389 381049851 556919013 1034278167 1143149553 1670757039 2413315723 3102834501 7239947169 21719841507