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56344796046 = 23471131145709
BaseRepresentation
bin110100011110011010…
…010101101110001110
312101102202200012120000
4310132122111232032
51410343231433141
641515012305130
74033163602260
oct643632255616
9171382605500
1056344796046
1121994194250
12ab059121a6
13540c3bc106
142a27253b30
1516eb8d95b6
hexd1e695b8e

56344796046 has 160 divisors (see below), whose sum is σ = 162486466560. Its totient is φ = 14162817600.

The previous prime is 56344796017. The next prime is 56344796051. The reversal of 56344796046 is 64069744365.

It is a happy number.

56344796046 is a `hidden beast` number, since 563 + 4 + 4 + 79 + 6 + 0 + 4 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56344795983 and 56344796001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 313840 + ... + 459548.

It is an arithmetic number, because the mean of its divisors is an integer number (1015540416).

Almost surely, 256344796046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56344796046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81243233280).

56344796046 is an abundant number, since it is smaller than the sum of its proper divisors (106141670514).

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

56344796046 is a wasteful number, since it uses less digits than its factorization.

56344796046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145772 (or 145763 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 56344796046 in words is "fifty-six billion, three hundred forty-four million, seven hundred ninety-six thousand, forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 31 33 42 54 62 63 66 77 81 93 99 126 154 162 186 189 198 217 231 279 297 341 378 434 462 558 567 594 651 682 693 837 891 1023 1134 1302 1386 1674 1782 1953 2046 2079 2387 2511 3069 3906 4158 4774 5022 5859 6138 6237 7161 9207 11718 12474 14322 17577 18414 21483 27621 35154 42966 55242 64449 128898 145709 193347 291418 386694 437127 874254 1019963 1311381 1602799 2039926 2622762 3059889 3205598 3934143 4516979 4808397 6119778 7868286 9033958 9179667 9616794 11219593 11802429 13550937 14425191 18359334 22439186 23604858 27101874 27539001 28850382 31618853 33658779 40652811 43275573 49686769 55078002 63237706 67317558 81305622 82617003 86551146 94856559 99373538 100976337 121958433 129826719 149060307 165234006 189713118 201952674 243916866 259653438 284569677 298120614 302929011 347807383 365875299 447180921 569139354 605858022 695614766 731750598 853709031 894361842 908787033 1043422149 1341542763 1707418062 1817574066 2086844298 2561127093 2683085526 3130266447 4024628289 5122254186 6260532894 8049256578 9390799341 18781598682 28172398023 56344796046