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56618855680 = 285149307967
BaseRepresentation
bin110100101110101111…
…110010110100000000
312102010212100212200211
4310232233302310000
51411423411340210
642002122323504
74043032222042
oct645657626400
9172125325624
1056618855680
1122014960312
12ab81659594
13545410698a
142a517d3a92
1517159c238a
hexd2ebf2d00

56618855680 has 144 divisors (see below), whose sum is σ = 137116425600. Its totient is φ = 22399082496.

The previous prime is 56618855633. The next prime is 56618855681. The reversal of 56618855680 is 8655881665.

It is a happy number.

56618855680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56618855681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58550557 + ... + 58551523.

It is an arithmetic number, because the mean of its divisors is an integer number (952197400).

Almost surely, 256618855680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56618855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68558212800).

56618855680 is an abundant number, since it is smaller than the sum of its proper divisors (80497569920).

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

56618855680 is a wasteful number, since it uses less digits than its factorization.

56618855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 58.

The spelling of 56618855680 in words is "fifty-six billion, six hundred eighteen million, eight hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 149 160 256 298 307 320 596 614 640 745 967 1192 1228 1280 1490 1535 1934 2384 2456 2980 3070 3868 4768 4835 4912 5960 6140 7736 9536 9670 9824 11920 12280 15472 19072 19340 19648 23840 24560 30944 38144 38680 39296 45743 47680 49120 61888 77360 78592 91486 95360 98240 123776 144083 154720 182972 190720 196480 228715 247552 288166 296869 309440 365944 392960 457430 576332 593738 618880 720415 731888 914860 1152664 1187476 1237760 1440830 1463776 1484345 1829720 2305328 2374952 2881660 2927552 2968690 3659440 4610656 4749904 5763320 5855104 5937380 7318880 9221312 9499808 11526640 11710208 11874760 14637760 18442624 18999616 23053280 23749520 29275520 36885248 37999232 44233481 46106560 47499040 58551040 75998464 88466962 92213120 94998080 176933924 184426240 189996160 221167405 353867848 379992320 442334810 707735696 884669620 1415471392 1769339240 2830942784 3538678480 5661885568 7077356960 11323771136 14154713920 28309427840 56618855680