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21348005544 = 2334176131769
BaseRepresentation
bin10011111000011100…
…001011011010101000
32001002210001001020000
4103320130023122220
5322210042134134
613450201503000
71354011024135
oct237034133250
961083031200
1021348005544
119065435598
1241794a1a60
132022a50258
14106734158c
1584e28ee99
hex4f870b6a8

21348005544 has 160 divisors (see below), whose sum is σ = 64351405800. Its totient is φ = 6587412480.

The previous prime is 21348005537. The next prime is 21348005557. The reversal of 21348005544 is 44550084312.

It is a happy number.

21348005544 is a `hidden beast` number, since 2 + 1 + 34 + 80 + 0 + 5 + 544 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13101549444 + 8246456100 = 114462^2 + 90810^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21348005499 and 21348005508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 656092 + ... + 687860.

Almost surely, 221348005544 is an apocalyptic number.

21348005544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21348005544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32175702900).

21348005544 is an abundant number, since it is smaller than the sum of its proper divisors (43003400256).

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

21348005544 is a wasteful number, since it uses less digits than its factorization.

21348005544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31865 (or 31852 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 21348005544 its reverse (44550084312), we get a palindrome (65898089856).

The spelling of 21348005544 in words is "twenty-one billion, three hundred forty-eight million, five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 61 68 72 81 102 108 122 136 153 162 183 204 216 244 306 324 366 408 459 488 549 612 648 732 918 1037 1098 1224 1377 1464 1647 1836 2074 2196 2754 3111 3294 3672 4148 4392 4941 5508 6222 6588 8296 9333 9882 11016 12444 13176 18666 19764 24888 27999 31769 37332 39528 55998 63538 74664 83997 95307 111996 127076 167994 190614 223992 254152 285921 335988 381228 540073 571842 671976 762456 857763 1080146 1143684 1620219 1715526 1937909 2160292 2287368 2573289 3240438 3431052 3875818 4320584 4860657 5146578 5813727 6480876 6862104 7751636 9721314 10293156 11627454 12961752 14581971 15503272 17441181 19442628 20586312 23254908 29163942 32944453 34882362 38885256 43745913 46509816 52323543 58327884 65888906 69764724 87491826 98833359 104647086 116655768 131777812 139529448 156970629 174983652 197666718 209294172 263555624 296500077 313941258 349967304 395333436 418588344 593000154 627882516 790666872 889500231 1186000308 1255765032 1779000462 2372000616 2668500693 3558000924 5337001386 7116001848 10674002772 21348005544