Search a number
-
+
42879390320592 = 2432742539077699
BaseRepresentation
bin10011011111111101000101…
…10101000000011111010000
312121211020012102210202100100
421233332202311000133100
521110013442410224332
6231110304151452400
712013635156663330
oct1157764265003720
9177736172722310
1042879390320592
1112732057a77551
124986391087100
131ac0680805a57
14a835330c30c0
154e55d0bc967c
hex26ffa2d407d0

42879390320592 has 60 divisors (see below), whose sum is σ = 137145986504800. Its totient is φ = 12251254377024.

The previous prime is 42879390320513. The next prime is 42879390320623. The reversal of 42879390320592 is 29502309397824.

42879390320592 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 9 + 3 + 9 + 0 + 32 + 0 + 592 = 666.

It is a super-2 number, since 2×428793903205922 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21269537842 + ... + 21269539857.

Almost surely, 242879390320592 is an apocalyptic number.

42879390320592 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42879390320592 is an abundant number, since it is smaller than the sum of its proper divisors (94266596184208).

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

42879390320592 is a wasteful number, since it uses less digits than its factorization.

42879390320592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42539077720 (or 42539077711 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 42879390320592 in words is "forty-two trillion, eight hundred seventy-nine billion, three hundred ninety million, three hundred twenty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 42539077699 85078155398 127617233097 170156310796 255234466194 297773543893 340312621592 382851699291 510468932388 595547087786 680625243184 765703398582 893320631679 1020937864776 1191094175572 1531406797164 1786641263358 2041875729552 2382188351144 2679961895037 3062813594328 3573282526716 4764376702288 5359923790074 6125627188656 7146565053432 10719847580148 14293130106864 21439695160296 42879390320592