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42036760248 = 2337814730713
BaseRepresentation
bin100111001001100101…
…100000111010111000
311000111121120200022020
4213021211200322320
51142042402311443
631151133354440
73015465365220
oct471145407270
9130447520266
1042036760248
111691172317a
128192038a20
133c6c02a942
14206acb5080
15116070b583
hex9c9960eb8

42036760248 has 64 divisors (see below), whose sum is σ = 120123682560. Its totient is φ = 12008637696.

The previous prime is 42036760243. The next prime is 42036760301. The reversal of 42036760248 is 84206763024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42036760243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1353340 + ... + 1384052.

It is an arithmetic number, because the mean of its divisors is an integer number (1876932540).

Almost surely, 242036760248 is an apocalyptic number.

It is an amenable number.

42036760248 is an abundant number, since it is smaller than the sum of its proper divisors (78086922312).

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

42036760248 is a wasteful number, since it uses less digits than its factorization.

42036760248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38876 (or 38872 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 42036760248 in words is "forty-two billion, thirty-six million, seven hundred sixty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 8147 16294 24441 30713 32588 48882 57029 61426 65176 92139 97764 114058 122852 171087 184278 195528 214991 228116 245704 342174 368556 429982 456232 644973 684348 737112 859964 1289946 1368696 1719928 2579892 5159784 250218811 500437622 750656433 1000875244 1501312866 1751531677 2001750488 3002625732 3503063354 5254595031 6005251464 7006126708 10509190062 14012253416 21018380124 42036760248