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39985560120 = 233511140921499
BaseRepresentation
bin100101001111010100…
…110011101000111000
310211012122212220201010
4211033110303220320
51123342300410440
630211421153520
72613610440012
oct451724635070
9124178786633
1039985560120
1115a59896160
1278bb0bb8a0
133a03097b5c
141d146cd1b2
1510905d3580
hex94f533a38

39985560120 has 128 divisors (see below), whose sum is σ = 130960800000. Its totient is φ = 9686138880.

The previous prime is 39985560103. The next prime is 39985560133. The reversal of 39985560120 is 2106558993.

It is a happy number.

39985560120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×399855601202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 39985560120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1849131 + ... + 1870629.

It is an arithmetic number, because the mean of its divisors is an integer number (1023131250).

Almost surely, 239985560120 is an apocalyptic number.

39985560120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39985560120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65480400000).

39985560120 is an abundant number, since it is smaller than the sum of its proper divisors (90975239880).

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

39985560120 is a wasteful number, since it uses less digits than its factorization.

39985560120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22933 (or 22929 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 39985560120 in words is "thirty-nine billion, nine hundred eighty-five million, five hundred sixty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1409 2818 4227 5636 7045 8454 11272 14090 15499 16908 21135 21499 28180 30998 33816 42270 42998 46497 56360 61996 64497 77495 84540 85996 92994 107495 123992 128994 154990 169080 171992 185988 214990 232485 236489 257988 309980 322485 371976 429980 464970 472978 515976 619960 644970 709467 859960 929940 945956 1182445 1289940 1418934 1859880 1891912 2364890 2579880 2837868 3547335 4729780 5675736 7094670 9459560 14189340 28378680 30292091 60584182 90876273 121168364 151460455 181752546 242336728 302920910 333213001 363505092 454381365 605841820 666426002 727010184 908762730 999639003 1211683640 1332852004 1666065005 1817525460 1999278006 2665704008 3332130010 3635050920 3998556012 4998195015 6664260020 7997112024 9996390030 13328520040 19992780060 39985560120