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21340595694864 = 2432398747212671
BaseRepresentation
bin1001101101000101111101…
…01000000010110100010000
32210120010210210202221010010
410312202332220002310100
510244121014444213424
6113215422340234520
74331543566302645
oct466427650026420
983503723687103
1021340595694864
11688854aa15676
122487b4a39ba40
13bba5429ac8a4
1453ac67159dcc
152701b7c10229
hex1368bea02d10

21340595694864 has 80 divisors (see below), whose sum is σ = 55367130562560. Its totient is φ = 7082925010560.

The previous prime is 21340595694863. The next prime is 21340595694877. The reversal of 21340595694864 is 46849659504312.

It is a super-2 number, since 2×213405956948642 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21340595694795 and 21340595694804.

It is not an unprimeable number, because it can be changed into a prime (21340595694863) 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 15 ways as a sum of consecutive naturals, for example, 100239249 + ... + 100451919.

It is an arithmetic number, because the mean of its divisors is an integer number (692089132032).

Almost surely, 221340595694864 is an apocalyptic number.

21340595694864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21340595694864 is an abundant number, since it is smaller than the sum of its proper divisors (34026534867696).

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

21340595694864 is a wasteful number, since it uses less digits than its factorization.

21340595694864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221668 (or 221662 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 66.

The spelling of 21340595694864 in words is "twenty-one trillion, three hundred forty billion, five hundred ninety-five million, six hundred ninety-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 239 478 717 956 1434 1912 2868 3824 5736 8747 11472 17494 26241 34988 52482 69976 104964 139952 209928 212671 419856 425342 638013 850684 1276026 1701368 2090533 2552052 3402736 4181066 5104104 6271599 8362132 10208208 12543198 16724264 25086396 33448528 50172792 50828369 100345584 101656738 152485107 203313476 304970214 406626952 609940428 813253904 1219880856 1860233237 2439761712 3720466474 5580699711 7440932948 11161399422 14881865896 22322798844 29763731792 44645597688 89291195376 444595743643 889191487286 1333787230929 1778382974572 2667574461858 3556765949144 5335148923716 7113531898288 10670297847432 21340595694864