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29861004400 = 245274652511
BaseRepresentation
bin11011110011110110…
…101100010001110000
32212002001202012020221
4123303312230101300
5442123404120100
621415024542424
72104661230603
oct336366542160
985061665227
1029861004400
1111733838637
125954481a14
132a7b649c96
141633bc633a
15b9b82001a
hex6f3dac470

29861004400 has 30 divisors (see below), whose sum is σ = 71741064032. Its totient is φ = 11944401600.

The previous prime is 29861004389. The next prime is 29861004431. The reversal of 29861004400 is 440016892.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37325856 + ... + 37326655.

Almost surely, 229861004400 is an apocalyptic number.

29861004400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29861004400 is an abundant number, since it is smaller than the sum of its proper divisors (41880059632).

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

29861004400 is a wasteful number, since it uses less digits than its factorization.

29861004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74652529 (or 74652518 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 29861004400 in words is "twenty-nine billion, eight hundred sixty-one million, four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 74652511 149305022 298610044 373262555 597220088 746525110 1194440176 1493050220 1866312775 2986100440 3732625550 5972200880 7465251100 14930502200 29861004400