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42879312993 = 31117194022827
BaseRepresentation
bin100111111011110011…
…100110010001100001
311002200022222210101110
4213323303212101201
51200304101003433
631410512253533
73045406101216
oct477363462141
9132608883343
1042879312993
1117204288560
1283882412a9
13407475c26a
14210ab59b0d
1511ae68b963
hex9fbce6461

42879312993 has 32 divisors (see below), whose sum is σ = 69514467840. Its totient is φ = 23171477760.

The previous prime is 42879312979. The next prime is 42879313021. The reversal of 42879312993 is 39921397824.

It is not a de Polignac number, because 42879312993 - 25 = 42879312961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (42879312893) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2000755 + ... + 2022072.

It is an arithmetic number, because the mean of its divisors is an integer number (2172327120).

Almost surely, 242879312993 is an apocalyptic number.

It is an amenable number.

42879312993 is a deficient number, since it is larger than the sum of its proper divisors (26635154847).

42879312993 is a wasteful number, since it uses less digits than its factorization.

42879312993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022877.

The product of its digits is 5878656, while the sum is 57.

It can be divided in two parts, 4287931 and 2993, that added together give a palindrome (4290924).

The spelling of 42879312993 in words is "forty-two billion, eight hundred seventy-nine million, three hundred twelve thousand, nine hundred ninety-three".

Divisors: 1 3 11 17 19 33 51 57 187 209 323 561 627 969 3553 10659 4022827 12068481 44251097 68388059 76433713 132753291 205164177 229301139 752268649 840770843 1299373121 2256805947 2522312529 3898119363 14293104331 42879312993