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29009200768 = 27435270567
BaseRepresentation
bin11011000001000101…
…010100011010000000
32202212200221002100021
4123001011110122000
5433402323411033
621154315503224
72044606065232
oct330105243200
982780832307
1029009200768
1111336a34999
125757157b14
132974029a72
141592a14252
15b4bb63b2d
hex6c1154680

29009200768 has 32 divisors (see below), whose sum is σ = 59135772960. Its totient is φ = 14167281408.

The previous prime is 29009200747. The next prime is 29009200789. The reversal of 29009200768 is 86700290092.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29009200747) and next prime (29009200789).

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2629780 + ... + 2640787.

It is an arithmetic number, because the mean of its divisors is an integer number (1847992905).

Almost surely, 229009200768 is an apocalyptic number.

It is an amenable number.

29009200768 is an abundant number, since it is smaller than the sum of its proper divisors (30126572192).

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

29009200768 is an equidigital number, since it uses as much as digits as its factorization.

29009200768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5270624 (or 5270612 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 29009200768 in words is "twenty-nine billion, nine million, two hundred thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1376 2752 5504 5270567 10541134 21082268 42164536 84329072 168658144 226634381 337316288 453268762 674632576 906537524 1813075048 3626150096 7252300192 14504600384 29009200768