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29241412740 = 223251511075843
BaseRepresentation
bin11011001110111011…
…001000110010000100
32210110212212200021200
4123032323020302010
5434341300201430
621233332542500
72053425623121
oct331673106204
983425780250
1029241412740
1111446019211
125800a81a30
1329b0181ab7
1415b57bd748
15b62232460
hex6ceec8c84

29241412740 has 72 divisors (see below), whose sum is σ = 89286445248. Its totient is φ = 7746062400.

The previous prime is 29241412663. The next prime is 29241412763. The reversal of 29241412740 is 4721414292.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 29241412695 and 29241412704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510742 + ... + 565101.

Almost surely, 229241412740 is an apocalyptic number.

29241412740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29241412740 is an abundant number, since it is smaller than the sum of its proper divisors (60045032508).

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

29241412740 is a wasteful number, since it uses less digits than its factorization.

29241412740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076009 (or 1076004 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 29241412740 in words is "twenty-nine billion, two hundred forty-one million, four hundred twelve thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 151 180 302 453 604 755 906 1359 1510 1812 2265 2718 3020 4530 5436 6795 9060 13590 27180 1075843 2151686 3227529 4303372 5379215 6455058 9682587 10758430 12910116 16137645 19365174 21516860 32275290 38730348 48412935 64550580 96825870 162452293 193651740 324904586 487356879 649809172 812261465 974713758 1462070637 1624522930 1949427516 2436784395 2924141274 3249045860 4873568790 5848282548 7310353185 9747137580 14620706370 29241412740