Search a number
-
+
21539174699280 = 2435712820937321
BaseRepresentation
bin1001110010110111110101…
…10110110101000100010000
32211021010101010012120010110
410321123322312311010100
510310344212210334110
6113450543225401320
74352103554060460
oct471337266650420
984233333176113
1021539174699280
116954792657857
1224ba52a039240
13c0319b7ab974
14546704621ba0
1527543b543a20
hex1396fadb5110

21539174699280 has 80 divisors (see below), whose sum is σ = 76310218940544. Its totient is φ = 4923239930880.

The previous prime is 21539174699257. The next prime is 21539174699291. The reversal of 21539174699280 is 8299647193512.

21539174699280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×215391746992802 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6410466981 + ... + 6410470340.

It is a 1-persistent number, because it is pandigital, but 2⋅21539174699280 = 43078349398560 is not.

Almost surely, 221539174699280 is an apocalyptic number.

21539174699280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21539174699280 is an abundant number, since it is smaller than the sum of its proper divisors (54771044241264).

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

21539174699280 is a wasteful number, since it uses less digits than its factorization.

21539174699280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12820937344 (or 12820937338 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 66.

The spelling of 21539174699280 in words is "twenty-one trillion, five hundred thirty-nine billion, one hundred seventy-four million, six hundred ninety-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 12820937321 25641874642 38462811963 51283749284 64104686605 76925623926 89746561247 102567498568 128209373210 153851247852 179493122494 192314059815 205134997136 256418746420 269239683741 307702495704 358986244988 384628119630 448732806235 512837492840 538479367482 615404991408 717972489976 769256239260 897465612470 1025674985680 1076958734964 1346198418705 1435944979952 1538512478520 1794931224940 2153917469928 2692396837410 3077024957040 3589862449880 4307834939856 5384793674820 7179724899760 10769587349640 21539174699280