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42368886324 = 22331013884203
BaseRepresentation
bin100111011101011000…
…011110011000110100
311001100202112102122000
4213131120132120310
51143232413330244
631244120135300
73026640406632
oct473530363064
9131322472560
1042368886324
1116a7214a436
128265307530
133cc2a9634b
14209d04c352
15117e964169
hex9dd61e634

42368886324 has 48 divisors (see below), whose sum is σ = 110932866240. Its totient is φ = 13983127200.

The previous prime is 42368886323. The next prime is 42368886379.

42368886324 is a `hidden beast` number, since 4 + 236 + 8 + 8 + 86 + 324 = 666.

42368886324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42368886323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1931194 + ... + 1953009.

It is an arithmetic number, because the mean of its divisors is an integer number (2311101380).

Almost surely, 242368886324 is an apocalyptic number.

It is an amenable number.

42368886324 is an abundant number, since it is smaller than the sum of its proper divisors (68563979916).

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

42368886324 is a wasteful number, since it uses less digits than its factorization.

42368886324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884317 (or 3884309 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 42368886324 in words is "forty-two billion, three hundred sixty-eight million, eight hundred eighty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1818 2727 3636 5454 10908 3884203 7768406 11652609 15536812 23305218 34957827 46610436 69915654 104873481 139831308 209746962 392304503 419493924 784609006 1176913509 1569218012 2353827018 3530740527 4707654036 7061481054 10592221581 14122962108 21184443162 42368886324