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42088665630 = 235113113971033
BaseRepresentation
bin100111001100101011…
…100001001000011110
311000122020020202002210
4213030223201020132
51142144144300010
631200230101250
73016665516654
oct471453411036
9130566222083
1042088665630
1116938a55490
1281a74aa826
133c79a0239b
142073b46dd4
151165060b20
hex9ccae121e

42088665630 has 128 divisors (see below), whose sum is σ = 110935858176. Its totient is φ = 10135065600.

The previous prime is 42088665617. The next prime is 42088665679. The reversal of 42088665630 is 3656688024.

It is a self number, because there is not a number n which added to its sum of digits gives 42088665630.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 40743594 + ... + 40744626.

It is an arithmetic number, because the mean of its divisors is an integer number (866686392).

Almost surely, 242088665630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42088665630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55467929088).

42088665630 is an abundant number, since it is smaller than the sum of its proper divisors (68847192546).

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

42088665630 is a wasteful number, since it uses less digits than its factorization.

42088665630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762.

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 42088665630 in words is "forty-two billion, eighty-eight million, six hundred sixty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 311 330 397 622 794 933 1033 1191 1555 1866 1985 2066 2382 3099 3110 3421 3970 4367 4665 5165 5955 6198 6842 8734 9330 10263 10330 11363 11910 13101 15495 17105 20526 21835 22726 26202 30990 34089 34210 43670 51315 56815 65505 68178 102630 113630 123467 131010 170445 246934 321263 340890 370401 410101 617335 642526 740802 820202 963789 1230303 1234670 1358137 1606315 1852005 1927578 2050505 2460606 2716274 3212630 3533893 3704010 4074411 4101010 4511111 4818945 6151515 6790685 7067786 8148822 9022222 9637890 10601679 12303030 13533333 13581370 17669465 20372055 21203358 22555555 27066666 35338930 40744110 45111110 53008395 67666665 106016790 127541411 135333330 255082822 382624233 637707055 765248466 1275414110 1402955521 1913121165 2805911042 3826242330 4208866563 7014777605 8417733126 14029555210 21044332815 42088665630