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21374326114624 = 2671131400930139
BaseRepresentation
bin1001101110000100110010…
…00111011000100101000000
32210200100212112111210101001
410313002121013120211000
510300144104441131444
6113243121352221344
74334146504163110
oct467023107304500
983610775453331
1021374326114624
1168a088995623a
1224925a269a854
13bc0789b89652
1453c746bc3040
15270ede0ad8d4
hex1370991d8940

21374326114624 has 112 divisors (see below), whose sum is σ = 48908004393600. Its totient is φ = 9078410428416.

The previous prime is 21374326114579. The next prime is 21374326114627. The reversal of 21374326114624 is 42641162347312.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×213743261146242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21374326114627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 709176547 + ... + 709206685.

Almost surely, 221374326114624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21374326114624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24454002196800).

21374326114624 is an abundant number, since it is smaller than the sum of its proper divisors (27533678278976).

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

21374326114624 is a wasteful number, since it uses less digits than its factorization.

21374326114624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44280 (or 44270 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 46.

The spelling of 21374326114624 in words is "twenty-one trillion, three hundred seventy-four billion, three hundred twenty-six million, one hundred fourteen thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 448 452 791 904 1582 1808 3164 3616 6328 7232 12656 14009 25312 28018 30139 50624 56036 60278 98063 112072 120556 196126 210973 224144 241112 392252 421946 448288 482224 784504 843892 896576 964448 1569008 1583017 1687784 1928896 3138016 3166034 3375568 3405707 6276032 6332068 6751136 6811414 11081119 12664136 13502272 13622828 22162238 23839949 25328272 27245656 44324476 47679898 50656544 54491312 88648952 95359796 101313088 108982624 177297904 190719592 217965248 354595808 381439184 422217251 709191616 762878368 844434502 1525756736 1688869004 2955520757 3377738008 5911041514 6755476016 11822083028 13510952032 23644166056 27021904064 47288332112 47710549363 94576664224 95421098726 189153328448 190842197452 333973845541 381684394904 667947691082 763368789808 1335895382164 1526737579616 2671790764328 3053475159232 5343581528656 10687163057312 21374326114624