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29966280720 = 2435790115803
BaseRepresentation
bin11011111010001000…
…010010100000010000
32212100101211210012220
4123322020102200100
5442332331440340
621433305221040
72110410116625
oct337210224020
985311753186
1029966280720
1111788203262
125983791780
132a973ba26c
141643b8c34c
15ba5bb7ed0
hex6fa212810

29966280720 has 80 divisors (see below), whose sum is σ = 92913106752. Its totient is φ = 7989491200.

The previous prime is 29966280677. The next prime is 29966280731. The reversal of 29966280720 is 2708266992.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1888339 + ... + 1904141.

Almost surely, 229966280720 is an apocalyptic number.

29966280720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29966280720 is an abundant number, since it is smaller than the sum of its proper divisors (62946826032).

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

29966280720 is a wasteful number, since it uses less digits than its factorization.

29966280720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23720 (or 23714 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 29966280720 in words is "twenty-nine billion, nine hundred sixty-six million, two hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 7901 15802 15803 23703 31604 31606 39505 47406 47409 63208 63212 79010 79015 94812 94818 118515 126416 126424 158020 158030 189624 189636 237030 237045 252848 316040 316060 379248 379272 474060 474090 632080 632120 758544 948120 948180 1264240 1896240 1896360 3792720 124859503 249719006 374578509 499438012 624297515 749157018 998876024 1248595030 1498314036 1872892545 1997752048 2497190060 2996628072 3745785090 4994380120 5993256144 7491570180 9988760240 14983140360 29966280720