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29813246632 = 23131933148301
BaseRepresentation
bin11011110001000000…
…100000101010101000
32211221201212211220201
4123301000200222220
5442024142343012
621410201201544
72103541262251
oct336100405250
984851784821
1029813246632
1111709889504
1259404902b4
132a71798350
14162b713b28
15b97539857
hex6f1020aa8

29813246632 has 32 divisors (see below), whose sum is σ = 60231374280. Its totient is φ = 13752748800.

The previous prime is 29813246629. The next prime is 29813246653. The reversal of 29813246632 is 23664231892.

It can be written as a sum of positive squares in 4 ways, for example, as 18486753156 + 11326493476 = 135966^2 + 106426^2 .

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 7 ways as a sum of consecutive naturals, for example, 126882 + ... + 275182.

Almost surely, 229813246632 is an apocalyptic number.

It is an amenable number.

29813246632 is an abundant number, since it is smaller than the sum of its proper divisors (30418127648).

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

29813246632 is a wasteful number, since it uses less digits than its factorization.

29813246632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150253 (or 150249 counting only the distinct ones).

The product of its digits is 746496, while the sum is 46.

The spelling of 29813246632 in words is "twenty-nine billion, eight hundred thirteen million, two hundred forty-six thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 1933 3866 7732 15464 25129 50258 100516 148301 201032 296602 593204 1186408 1927913 3855826 7711652 15423304 286665833 573331666 1146663332 2293326664 3726655829 7453311658 14906623316 29813246632