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42765856518 = 23721123574949
BaseRepresentation
bin100111110101000010…
…110010111100000110
311002101102111121100210
4213311002302330012
51200041024402033
631351340420250
73042530532300
oct476502627406
9132342447323
1042765856518
1117156235a80
128356247686
1340570b6858
1420d9a64970
1511a4729d63
hex9f50b2f06

42765856518 has 96 divisors (see below), whose sum is σ = 113260550400. Its totient is φ = 10625039040.

The previous prime is 42765856513. The next prime is 42765856519. The reversal of 42765856518 is 81565856724.

42765856518 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42765856513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213093 + ... + 361856.

It is an arithmetic number, because the mean of its divisors is an integer number (1179797400).

Almost surely, 242765856518 is an apocalyptic number.

42765856518 is an abundant number, since it is smaller than the sum of its proper divisors (70494693882).

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

42765856518 is a wasteful number, since it uses less digits than its factorization.

42765856518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575002 (or 574995 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 57.

The spelling of 42765856518 in words is "forty-two billion, seven hundred sixty-five million, eight hundred fifty-six thousand, five hundred eighteen".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 49 66 69 77 98 138 147 154 161 231 253 294 322 462 483 506 539 759 966 1078 1127 1518 1617 1771 2254 3234 3381 3542 5313 6762 10626 12397 24794 37191 74382 574949 1149898 1724847 3449694 4024643 6324439 8049286 12073929 12648878 13223827 18973317 24147858 26447654 28172501 37946634 39671481 44271073 56345002 79342962 84517503 88542146 92566789 132813219 145462097 169035006 185133578 265626438 277700367 290924194 309897511 436386291 555400734 619795022 647967523 872772582 929692533 1018234679 1295935046 1859385066 1943902569 2036469358 3054704037 3887805138 6109408074 7127642753 14255285506 21382928259 42765856518