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21451533515412 = 223711131785841951
BaseRepresentation
bin1001110000010100100110…
…00010001111101010010100
32210221202011020212010102120
410320022103002033222110
510302430220034443122
6113342410510535540
74342551666232050
oct470122302175224
983852136763376
1021451533515412
1169205a947a190
1224a554b2075b0
13bc7b425859a0
1454238cb02c60
1527300c30575c
hex13829308fa94

21451533515412 has 96 divisors (see below), whose sum is σ = 67204804337664. Its totient is φ = 5143224816000.

The previous prime is 21451533515411. The next prime is 21451533515471.

21451533515412 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21451533515411) 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 31 ways as a sum of consecutive naturals, for example, 892908964 + ... + 892932987.

It is an arithmetic number, because the mean of its divisors is an integer number (700050045184).

Almost surely, 221451533515412 is an apocalyptic number.

21451533515412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21451533515412 is an abundant number, since it is smaller than the sum of its proper divisors (45753270822252).

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

21451533515412 is a wasteful number, since it uses less digits than its factorization.

21451533515412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785841989 (or 1785841987 counting only the distinct ones).

The product of its digits is 360000, while the sum is 42.

The spelling of 21451533515412 in words is "twenty-one trillion, four hundred fifty-one billion, five hundred thirty-three million, five hundred fifteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 1785841951 3571683902 5357525853 7143367804 10715051706 12500893657 19644261461 21430103412 23215945363 25001787314 37502680971 39288522922 46431890726 50003574628 58932784383 69647836089 75005361942 78577045844 92863781452 117865568766 137509830227 139295672178 150010723884 162511617541 235731137532 255375398993 275019660454 278591344356 325023235082 412529490681 487534852623 510750797986 550039320908 650046470164 766126196979 825058981362 975069705246 1021501595972 1532252393958 1650117962724 1787627792951 1950139410492 3064504787916 3575255585902 5362883378853 7150511171804 10725766757706 21451533515412