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42738625184 = 2529271169943
BaseRepresentation
bin100111110011011010…
…111010101010100000
311002022112021002222212
4213303122322222200
51200012042001214
631344525021252
73042050214533
oct476332725240
9132275232885
1042738625184
1117141926742
1283490b4828
134051570b38
1420d61b6a1a
1511a214b53e
hex9f36baaa0

42738625184 has 48 divisors (see below), whose sum is σ = 87364811520. Its totient is φ = 20556184320.

The previous prime is 42738625169. The next prime is 42738625201. The reversal of 42738625184 is 48152683724.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 166517 + ... + 336459.

It is an arithmetic number, because the mean of its divisors is an integer number (1820100240).

Almost surely, 242738625184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42738625184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43682405760).

42738625184 is an abundant number, since it is smaller than the sum of its proper divisors (44626186336).

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

42738625184 is a wasteful number, since it uses less digits than its factorization.

42738625184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170253 (or 170245 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 50.

The spelling of 42738625184 in words is "forty-two billion, seven hundred thirty-eight million, six hundred twenty-five thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 271 464 542 928 1084 2168 4336 7859 8672 15718 31436 62872 125744 169943 251488 339886 679772 1359544 2719088 4928347 5438176 9856694 19713388 39426776 46054553 78853552 92109106 157707104 184218212 368436424 736872848 1335582037 1473745696 2671164074 5342328148 10684656296 21369312592 42738625184