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43378696085568 = 2634713967344171
BaseRepresentation
bin10011101110011111000111…
…10001010110000001000000
312200120221222220200200011120
421313033203301112001000
521141204032144214233
6232131521535112240
712065002345652124
oct1167174361260100
9180527886620146
1043378696085568
1112904890072998
124a470b9672680
131b28793b8246c
14a9d77c02d584
155035a58c84b3
hex2773e3c56040

43378696085568 has 112 divisors (see below), whose sum is σ = 117223507390464. Its totient is φ = 14150860679680.

The previous prime is 43378696085563. The next prime is 43378696085603. The reversal of 43378696085568 is 86558069687334.

It is a super-2 number, since 2×433786960855682 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 43378696085493 and 43378696085502.

It is not an unprimeable number, because it can be changed into a prime (43378696085563) 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, 125866123 + ... + 126210293.

Almost surely, 243378696085568 is an apocalyptic number.

43378696085568 is a gapful number since it is divisible by the number (48) 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 43378696085568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58611753695232).

43378696085568 is an abundant number, since it is smaller than the sum of its proper divisors (73844811304896).

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

43378696085568 is a wasteful number, since it uses less digits than its factorization.

43378696085568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358200 (or 358190 counting only the distinct ones).

The product of its (nonzero) digits is 6270566400, while the sum is 78.

The spelling of 43378696085568 in words is "forty-three trillion, three hundred seventy-eight billion, six hundred ninety-six million, eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 9024 13967 27934 41901 55868 83802 111736 167604 223472 335208 344171 446944 656449 670416 688342 893888 1032513 1312898 1340832 1376684 1969347 2065026 2625796 2681664 2753368 3938694 4130052 5251592 5506736 7877388 8260104 10503184 11013472 15754776 16176037 16520208 21006368 22026944 31509552 32352074 33040416 42012736 48528111 63019104 64704148 66080832 97056222 126038208 129408296 194112444 258816592 388224888 517633184 776449776 1035266368 1552899552 3105799104 4807036357 9614072714 14421109071 19228145428 28842218142 38456290856 57684436284 76912581712 115368872568 153825163424 225930708779 230737745136 307650326848 451861417558 461475490272 677792126337 903722835116 922950980544 1355584252674 1807445670232 2711168505348 3614891340464 5422337010696 7229782680928 10844674021392 14459565361856 21689348042784 43378696085568