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29416000561112 = 231119142712328873
BaseRepresentation
bin1101011000000111100100…
…10000111001111111011000
310212011010211122201102111102
412230003302100321333120
512323422432120423422
6142321305112250532
76124143626146334
oct654036220717730
9125133748642442
1029416000561112
11941128a496990
1233710270a0a48
131354bbc7034a9
14739a561827c4
1536029ea13192
hex1ac0f2439fd8

29416000561112 has 64 divisors (see below), whose sum is σ = 63380275459200. Its totient is φ = 12658299459840.

The previous prime is 29416000561099. The next prime is 29416000561183. The reversal of 29416000561112 is 21116500061492.

It is a super-2 number, since 2×294160005611122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3778493 + ... + 8550380.

It is an arithmetic number, because the mean of its divisors is an integer number (990316804050).

Almost surely, 229416000561112 is an apocalyptic number.

29416000561112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

29416000561112 is an abundant number, since it is smaller than the sum of its proper divisors (33964274898088).

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

29416000561112 is a wasteful number, since it uses less digits than its factorization.

29416000561112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12330336 (or 12330332 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The spelling of 29416000561112 in words is "twenty-nine trillion, four hundred sixteen billion, five hundred sixty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1427 1672 2854 5708 11416 15697 27113 31394 54226 62788 108452 125576 216904 298243 596486 1192972 2385944 12328873 24657746 49315492 98630984 135617603 234248587 271235206 468497174 542470412 936994348 1084940824 1873988696 2576734457 5153468914 10306937828 17593301771 20613875656 35186603542 70373207084 140746414168 193526319481 334272733649 387052638962 668545467298 774105277924 1337090934596 1548210555848 2674181869192 3677000070139 7354000140278 14708000280556 29416000561112