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56064797334 = 232713223915287
BaseRepresentation
bin110100001101101110…
…001110101010010110
312100201020210210112100
4310031232032222112
51404310042003314
641431131102530
74023223625430
oct641556165226
9170636723470
1056064797334
1121860131057
12aa47ba1a46
1353963a51c0
1429dbda9650
1516d202bc09
hexd0db8ea96

56064797334 has 96 divisors (see below), whose sum is σ = 149582684160. Its totient is φ = 14778749376.

The previous prime is 56064797293. The next prime is 56064797353. The reversal of 56064797334 is 43379746065.

It is a happy number.

56064797334 is a `hidden beast` number, since 560 + 6 + 4 + 7 + 9 + 73 + 3 + 4 = 666.

It is a super-3 number, since 3×560647973343 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3659839 + ... + 3675125.

It is an arithmetic number, because the mean of its divisors is an integer number (1558152960).

Almost surely, 256064797334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56064797334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74791342080).

56064797334 is an abundant number, since it is smaller than the sum of its proper divisors (93517886826).

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

56064797334 is a wasteful number, since it uses less digits than its factorization.

56064797334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17554 (or 17551 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 56064797334 in words is "fifty-six billion, sixty-four million, seven hundred ninety-seven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 2239 4478 6717 13434 15287 15673 20151 29107 30574 31346 40302 45861 47019 58214 87321 91722 94038 107009 137583 141057 174642 198731 203749 214018 261963 275166 282114 321027 397462 407498 523926 596193 611247 642054 963081 1192386 1222494 1391117 1788579 1833741 1926162 2782234 3577158 3667482 4173351 8346702 12520053 25040106 34227593 68455186 102682779 205365558 239593151 308048337 444958709 479186302 616096674 718779453 889917418 1334876127 1437558906 2156338359 2669752254 3114710963 4004628381 4312676718 6229421926 8009256762 9344132889 18688265778 28032398667 56064797334