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42882420807681 = 37132635659105541
BaseRepresentation
bin10011100000000010101110…
…11101011001100000000001
312121211112000122012110002220
421300001113131121200001
521110041144211321211
6231111525005401253
712014103235463550
oct1160012735314001
9177745018173086
1042882420807681
1112733372670334
124986a97b69229
131ac0a44602b90
14a8373d783d97
154e570bc91806
hex270057759801

42882420807681 has 64 divisors (see below), whose sum is σ = 70651874979840. Its totient is φ = 22529098632960.

The previous prime is 42882420807647. The next prime is 42882420807701. The reversal of 42882420807681 is 18670802428824.

It is a happy number.

It is not a de Polignac number, because 42882420807681 - 214 = 42882420791297 is a prime.

It is a super-2 number, since 2×428824208076812 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42882420807581) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 406257771 + ... + 406363311.

It is an arithmetic number, because the mean of its divisors is an integer number (1103935546560).

Almost surely, 242882420807681 is an apocalyptic number.

It is an amenable number.

42882420807681 is a deficient number, since it is larger than the sum of its proper divisors (27769454172159).

42882420807681 is a wasteful number, since it uses less digits than its factorization.

42882420807681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111486.

The product of its (nonzero) digits is 22020096, while the sum is 60.

The spelling of 42882420807681 in words is "forty-two trillion, eight hundred eighty-two billion, four hundred twenty million, eight hundred seven thousand, six hundred eighty-one".

Divisors: 1 3 7 13 21 39 91 263 273 789 1841 3419 5523 5659 10257 16977 23933 39613 71799 73567 105541 118839 220701 316623 514969 738787 1372033 1488317 1544907 2216361 4116099 4464951 9604231 10418219 19348121 27757283 28812693 31254657 58044363 83271849 135436847 194300981 360844679 406310541 582902943 597256519 1082534037 1791769557 2525912753 4180795633 7577738259 7764334747 12542386899 23293004241 54350343229 157078464497 163051029687 471235393491 1099549251479 2042020038461 3298647754437 6126060115383 14294140269227 42882420807681