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29106069120 = 273351684379
BaseRepresentation
bin11011000110110110…
…110101111010000000
32210010110012111202000
4123012312311322000
5434102123202440
621212100024000
72050163335242
oct330666657200
983113174660
1029106069120
1111386687587
125783692000
13298b11500b
1415a182c092
15b553ea730
hex6c6db5e80

29106069120 has 128 divisors (see below), whose sum is σ = 103084056000. Its totient is φ = 7761613824.

The previous prime is 29106069103. The next prime is 29106069131. The reversal of 29106069120 is 2196060192.

29106069120 is a `hidden beast` number, since 29 + 1 + 0 + 606 + 9 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824910 + ... + 859469.

Almost surely, 229106069120 is an apocalyptic number.

29106069120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29106069120 is an abundant number, since it is smaller than the sum of its proper divisors (73977986880).

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

29106069120 is a wasteful number, since it uses less digits than its factorization.

29106069120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684407 (or 1684389 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 29106069120 in words is "twenty-nine billion, one hundred six million, sixty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 1684379 3368758 5053137 6737516 8421895 10106274 13475032 15159411 16843790 20212548 25265685 26950064 30318822 33687580 40425096 45478233 50531370 53900128 60637644 67375160 75797055 80850192 90956466 101062740 107800256 121275288 134750320 151594110 161700384 181912932 202125480 215600512 227391165 242550576 269500640 303188220 323400768 363825864 404250960 454782330 485101152 539001280 606376440 646801536 727651728 808501920 909564660 970202304 1078002560 1212752880 1455303456 1617003840 1819129320 1940404608 2425505760 2910606912 3234007680 3638258640 4851011520 5821213824 7276517280 9702023040 14553034560 29106069120