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42674724252 = 22329371265111
BaseRepresentation
bin100111101111100111…
…001001110110011100
311002011002000121101200
4213233213021312130
51144344212134002
631334323235500
73040343112456
oct475747116634
9132132017350
1042674724252
1117109850a56
12832b818b90
134041259434
1420cb9012d6
15119b727b1c
hex9ef9c9d9c

42674724252 has 36 divisors (see below), whose sum is σ = 107987430096. Its totient is φ = 14209715520.

The previous prime is 42674724247. The next prime is 42674724263. The reversal of 42674724252 is 25242747624.

42674724252 is a `hidden beast` number, since 426 + 74 + 72 + 42 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×426747242522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42674724198 and 42674724207.

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, 598824 + ... + 666287.

It is an arithmetic number, because the mean of its divisors is an integer number (2999650836).

Almost surely, 242674724252 is an apocalyptic number.

It is an amenable number.

42674724252 is an abundant number, since it is smaller than the sum of its proper divisors (65312705844).

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

42674724252 is a wasteful number, since it uses less digits than its factorization.

42674724252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266058 (or 1266053 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 45.

It can be divided in two parts, 4267472 and 4252, that added together give a palindrome (4271724).

The spelling of 42674724252 in words is "forty-two billion, six hundred seventy-four million, seven hundred twenty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 937 1874 2811 3748 5622 8433 11244 16866 33732 1265111 2530222 3795333 5060444 7590666 11385999 15181332 22771998 45543996 1185409007 2370818014 3556227021 4741636028 7112454042 10668681063 14224908084 21337362126 42674724252