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544564216056 = 233771307148711
BaseRepresentation
bin1111110110010101000…
…11101000000011111000
31221001121121122110010010
413323022203220003320
532410231414403211
61054100325021520
754225544314450
oct7731243500370
91831547573103
10544564216056
1119aa48337623
12896595548a0
133c47699baa3
141c4dda54d60
15e2731904a6
hex7eca8e80f8

544564216056 has 128 divisors (see below), whose sum is σ = 1582961909760. Its totient is φ = 152897673600.

The previous prime is 544564216039. The next prime is 544564216061. The reversal of 544564216056 is 650612465445.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 544564215996 and 544564216014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3587541 + ... + 3736251.

It is an arithmetic number, because the mean of its divisors is an integer number (12366889920).

Almost surely, 2544564216056 is an apocalyptic number.

544564216056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544564216056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791480954880).

544564216056 is an abundant number, since it is smaller than the sum of its proper divisors (1038397693704).

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

544564216056 is a wasteful number, since it uses less digits than its factorization.

544564216056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149105 (or 149101 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 544564216056 in words is "five hundred forty-four billion, five hundred sixty-four million, two hundred sixteen thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 307 426 497 568 614 852 921 994 1228 1491 1704 1842 1988 2149 2456 2982 3684 3976 4298 5964 6447 7368 8596 11928 12894 17192 21797 25788 43594 51576 65391 87188 130782 148711 152579 174376 261564 297422 305158 446133 457737 523128 594844 610316 892266 915474 1040977 1189688 1220632 1784532 1830948 2081954 3122931 3569064 3661896 4163908 6245862 8327816 10558481 12491724 21116962 24983448 31675443 42233924 45654277 63350886 73909367 84467848 91308554 126701772 136962831 147818734 182617108 221728101 253403544 273925662 295637468 319579939 365234216 443456202 547851324 591274936 639159878 886912404 958739817 1095702648 1278319756 1773824808 1917479634 2556639512 3241453667 3834959268 6482907334 7669918536 9724361001 12965814668 19448722002 22690175669 25931629336 38897444004 45380351338 68070527007 77794888008 90760702676 136141054014 181521405352 272282108028 544564216056