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56861416885536 = 253516014567411
BaseRepresentation
bin11001110110111000101001…
…00011100000110100100000
321110022220020220112121100000
430323130110203200310200
524423104140210314121
6320533435125500000
714656046626562544
oct1473342443406440
9243286226477300
1056861416885536
111713287850437a
126464159571600
132596015b9aa13
14100817047ba24
15689168c1a526
hex33b7148e0d20

56861416885536 has 144 divisors (see below), whose sum is σ = 167793306958368. Its totient is φ = 18941962752000.

The previous prime is 56861416885433. The next prime is 56861416885577. The reversal of 56861416885536 is 63558861416865.

56861416885536 is a `hidden beast` number, since 5 + 6 + 8 + 6 + 1 + 4 + 1 + 6 + 8 + 85 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10165671 + ... + 14733081.

It is an arithmetic number, because the mean of its divisors is an integer number (1165231298322).

Almost surely, 256861416885536 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 56861416885536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83896653479184).

56861416885536 is an abundant number, since it is smaller than the sum of its proper divisors (110931890072832).

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

56861416885536 is a wasteful number, since it uses less digits than its factorization.

56861416885536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4569037 (or 4569017 counting only the distinct ones).

The product of its digits is 995328000, while the sum is 72.

The spelling of 56861416885536 in words is "fifty-six trillion, eight hundred sixty-one billion, four hundred sixteen million, eight hundred eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1601 1944 2592 3202 3888 4803 6404 7776 9606 12808 14409 19212 25616 28818 38424 43227 51232 57636 76848 86454 115272 129681 153696 172908 230544 259362 345816 389043 461088 518724 691632 778086 1037448 1383264 1556172 2074896 3112344 4149792 4567411 6224688 9134822 12449376 13702233 18269644 27404466 36539288 41106699 54808932 73078576 82213398 109617864 123320097 146157152 164426796 219235728 246640194 328853592 369960291 438471456 493280388 657707184 739920582 986560776 1109880873 1315414368 1479841164 1973121552 2219761746 2959682328 3946243104 4439523492 5919364656 7312425011 8879046984 11838729312 14624850022 17758093968 21937275033 29249700044 35516187936 43874550066 58499400088 65811825099 87749100132 116998800176 131623650198 175498200264 197435475297 233997600352 263247300396 350996400528 394870950594 526494600792 592306425891 701992801056 789741901188 1052989201584 1184612851782 1579483802376 1776919277673 2105978403168 2369225703564 3158967604752 3553838555346 4738451407128 6317935209504 7107677110692 9476902814256 14215354221384 18953805628512 28430708442768 56861416885536