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29390952140 = 225111276071733
BaseRepresentation
bin11011010111110101…
…100101011011001100
32210212022021001202222
4123113311211123030
5440143040432030
621300234034512
72060222654054
oct332765453314
983768231688
1029390952140
11115124763a0
125842b78a38
132a0514c154
1415cb5c8564
15b704203e5
hex6d7d656cc

29390952140 has 96 divisors (see below), whose sum is σ = 68013195264. Its totient is φ = 10579887360.

The previous prime is 29390952127. The next prime is 29390952187. The reversal of 29390952140 is 4125909392.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 29390952091 and 29390952100.

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, 16958714 + ... + 16960446.

It is an arithmetic number, because the mean of its divisors is an integer number (708470784).

Almost surely, 229390952140 is an apocalyptic number.

29390952140 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 29390952140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34006597632).

29390952140 is an abundant number, since it is smaller than the sum of its proper divisors (38622243124).

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

29390952140 is a wasteful number, since it uses less digits than its factorization.

29390952140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 44.

The spelling of 29390952140 in words is "twenty-nine billion, three hundred ninety million, nine hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 607 635 1214 1270 1397 1733 2428 2540 2794 3035 3466 5588 6070 6677 6932 6985 8665 12140 13354 13970 17330 19063 26708 27940 33385 34660 38126 66770 76252 77089 95315 133540 154178 190630 220091 308356 381260 385445 440182 770890 847979 880364 1051931 1100455 1541780 1695958 2103862 2200910 2421001 3391916 4207724 4239895 4401820 4842002 5259655 8479790 9684004 10519310 11571241 12105005 16959580 21038620 23142482 24210010 46284964 48420020 57856205 115712410 133595237 231424820 267190474 534380948 667976185 1335952370 1469547607 2671904740 2939095214 5878190428 7347738035 14695476070 29390952140