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29860373040 = 2435314393337
BaseRepresentation
bin11011110011110100…
…010010001000110000
32212002000120010012020
4123303310102020300
5442123223414130
621415003231440
72104652661111
oct336364221060
985060503166
1029860373040
1111733447253
125954218580
132a7b4887b4
141633aa0208
15b9b747e10
hex6f3d12230

29860373040 has 160 divisors (see below), whose sum is σ = 97776408576. Its totient is φ = 7526615040.

The previous prime is 29860373029. The next prime is 29860373173. The reversal of 29860373040 is 4037306892.

It is a junction number, because it is equal to n+sod(n) for n = 29860372983 and 29860373001.

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, 273252 + ... + 366588.

Almost surely, 229860373040 is an apocalyptic number.

29860373040 is a gapful number since it is divisible by the number (20) 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 29860373040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48888204288).

29860373040 is an abundant number, since it is smaller than the sum of its proper divisors (67916035536).

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

29860373040 is a wasteful number, since it uses less digits than its factorization.

29860373040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93427 (or 93421 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 29860373040 in words is "twenty-nine billion, eight hundred sixty million, three hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 43 48 60 62 80 86 93 120 124 129 155 172 186 215 240 248 258 310 344 372 430 465 496 516 620 645 688 744 860 930 1032 1240 1290 1333 1488 1720 1860 2064 2480 2580 2666 3440 3720 3999 5160 5332 6665 7440 7998 10320 10664 13330 15996 19995 21328 26660 31992 39990 53320 63984 79980 93337 106640 159960 186674 280011 319920 373348 466685 560022 746696 933370 1120044 1400055 1493392 1866740 2240088 2800110 2893447 3733480 4013491 4480176 5600220 5786894 7466960 8026982 8680341 11200440 11573788 12040473 14467235 16053964 17360682 20067455 22400880 23147576 24080946 28934470 32107928 34721364 40134910 43401705 46295152 48161892 57868940 60202365 64215856 69442728 80269820 86803410 96323784 115737880 120404730 124418221 138885456 160539640 173606820 192647568 231475760 240809460 248836442 321079280 347213640 373254663 481618920 497672884 622091105 694427280 746509326 963237840 995345768 1244182210 1493018652 1866273315 1990691536 2488364420 2986037304 3732546630 4976728840 5972074608 7465093260 9953457680 14930186520 29860373040