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42727686894 = 23319214319433
BaseRepresentation
bin100111110010110001…
…001100001011101110
311002021202200101111000
4213302301030023232
51200001241440034
631343454341130
73041555226504
oct476261141356
9132252611430
1042727686894
1117136735632
1283454ba7a6
13404c211189
1420d496a674
1511a11da599
hex9f2c4c2ee

42727686894 has 64 divisors (see below), whose sum is σ = 99999590400. Its totient is φ = 13485963456.

The previous prime is 42727686853. The next prime is 42727686907. The reversal of 42727686894 is 49868672724.

42727686894 is a `hidden beast` number, since 427 + 2 + 7 + 68 + 68 + 94 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2189002 + ... + 2208434.

It is an arithmetic number, because the mean of its divisors is an integer number (1562493600).

Almost surely, 242727686894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42727686894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49999795200).

42727686894 is an abundant number, since it is smaller than the sum of its proper divisors (57271903506).

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

42727686894 is a wasteful number, since it uses less digits than its factorization.

42727686894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21606 (or 21600 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 42727686894 in words is "forty-two billion, seven hundred twenty-seven million, six hundred eighty-six thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 2143 4286 6429 12858 19287 19433 38574 38866 40717 57861 58299 81434 115722 116598 122151 174897 244302 349794 366453 369227 524691 732906 738454 1049382 1099359 1107681 2198718 2215362 3323043 6646086 9969129 19938258 41644919 83289838 124934757 249869514 374804271 749608542 791253461 1124412813 1582506922 2248825626 2373760383 4747520766 7121281149 14242562298 21363843447 42727686894