Search a number
-
+
56642908024032 = 25311269319917979
BaseRepresentation
bin11001110000100001101000…
…11010010110110011100000
321102120000020122120100001120
430320100310122112303200
524411014133423232112
6320245220454332240
714634213031111311
oct1470206432266340
9242500218510046
1056642908024032
11170591389a1620
12642993735a080
13257b5320b28b5
14ddb76214c608
1568362a8c3e8c
hex338434696ce0

56642908024032 has 96 divisors (see below), whose sum is σ = 162264931274880. Its totient is φ = 17158142968320.

The previous prime is 56642908024007. The next prime is 56642908024069. The reversal of 56642908024032 is 23042080924665.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7115182 + ... + 12802797.

It is an arithmetic number, because the mean of its divisors is an integer number (1690259700780).

Almost surely, 256642908024032 is an apocalyptic number.

It is an amenable number.

56642908024032 is an abundant number, since it is smaller than the sum of its proper divisors (105622023250848).

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

56642908024032 is a wasteful number, since it uses less digits than its factorization.

56642908024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19920696 (or 19920688 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

Adding to 56642908024032 its reverse (23042080924665), we get a palindrome (79684988948697).

The spelling of 56642908024032 in words is "fifty-six trillion, six hundred forty-two billion, nine hundred eight million, twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2693 5386 8079 10772 16158 21544 29623 32316 43088 59246 64632 86176 88869 118492 129264 177738 236984 258528 355476 473968 710952 947936 1421904 2843808 19917979 39835958 59753937 79671916 119507874 159343832 219097769 239015748 318687664 438195538 478031496 637375328 657293307 876391076 956062992 1314586614 1752782152 1912125984 2629173228 3505564304 5258346456 7011128608 10516692912 21033385824 53639117447 107278234894 160917352341 214556469788 321834704682 429112939576 590030291917 643669409364 858225879152 1180060583834 1287338818728 1716451758304 1770090875751 2360121167668 2574677637456 3540181751502 4720242335336 5149355274912 7080363503004 9440484670672 14160727006008 18880969341344 28321454012016 56642908024032