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42327672324 = 22372753183037
BaseRepresentation
bin100111011010111011…
…010000011000000100
311001020212222112122120
4213122323100120010
51143141341003244
631240044525540
73025630164330
oct473273203004
9131225875576
1042327672324
1116a5095a783
1282535508b0
133cb7396072
1420977a07c0
15117b022819
hex9daed0604

42327672324 has 48 divisors (see below), whose sum is σ = 112915410048. Its totient is φ = 12089161728.

The previous prime is 42327672307. The next prime is 42327672341.

42327672324 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42327672307) and next prime (42327672341).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139734 + ... + 322770.

It is an arithmetic number, because the mean of its divisors is an integer number (2352404376).

Almost surely, 242327672324 is an apocalyptic number.

It is an amenable number.

42327672324 is an abundant number, since it is smaller than the sum of its proper divisors (70587737724).

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

42327672324 is a wasteful number, since it uses less digits than its factorization.

42327672324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185804 (or 185802 counting only the distinct ones).

The product of its digits is 677376, while the sum is 42.

The spelling of 42327672324 in words is "forty-two billion, three hundred twenty-seven million, six hundred seventy-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 2753 5506 8259 11012 16518 19271 33036 38542 57813 77084 115626 183037 231252 366074 549111 732148 1098222 1281259 2196444 2562518 3843777 5125036 7687554 15375108 503900861 1007801722 1511702583 2015603444 3023405166 3527306027 6046810332 7054612054 10581918081 14109224108 21163836162 42327672324