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63441200068560 = 24325372381426429
BaseRepresentation
bin11100110110011000011100…
…01100011011011111010000
322022121220211022102111111100
432123030032030123133100
531303410034204143220
6342532252430344400
716235322036046506
oct1633141614333720
9268556738374440
1063441200068560
111923a297591516
1271473b565b100
1329526305b8702
1411947db50a676
157503b7c27d90
hex39b30e31b7d0

63441200068560 has 120 divisors (see below), whose sum is σ = 218814986094120. Its totient is φ = 16460419470336.

The previous prime is 63441200068553. The next prime is 63441200068619. The reversal of 63441200068560 is 6586000214436.

63441200068560 is a `hidden beast` number, since 6 + 3 + 4 + 4 + 1 + 20 + 0 + 0 + 68 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38097386046864 + 25343814021696 = 6172308^2 + 5034264^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×634412000685602 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1190686575 + ... + 1190739854.

It is an arithmetic number, because the mean of its divisors is an integer number (1823458217451).

Almost surely, 263441200068560 is an apocalyptic number.

63441200068560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63441200068560 is an abundant number, since it is smaller than the sum of its proper divisors (155373786025560).

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

63441200068560 is a wasteful number, since it uses less digits than its factorization.

63441200068560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381426485 (or 2381426476 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 63441200068560 in words is "sixty-three trillion, four hundred forty-one billion, two hundred million, sixty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8880 13320 26640 2381426429 4762852858 7144279287 9525705716 11907132145 14288558574 19051411432 21432837861 23814264290 28577117148 35721396435 38102822864 42865675722 47628528580 57154234296 71442792870 85731351444 88112777873 95257057160 107164189305 114308468592 142885585740 171462702888 176225555746 190514114320 214328378610 264338333619 285771171480 342925405776 352451111492 428656757220 440563889365 528676667238 571542342960 704902222984 793015000857 857313514440 881127778730 1057353334476 1321691668095 1409804445968 1586030001714 1714627028880 1762255557460 2114706668952 2643383336190 3172060003428 3524511114920 3965075004285 4229413337904 5286766672380 6344120006856 7049022229840 7930150008570 10573533344760 12688240013712 15860300017140 21147066689520 31720600034280 63441200068560