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31341930048 = 2635111317829
BaseRepresentation
bin11101001100000111…
…111110011001000000
32222220021101000100000
4131030013332121000
51003142013230143
622222010200000
72156453003232
oct351407763100
988807330300
1031341930048
111232377aa30
1260a8423000
132c563c1250
141734762252
15c3684cbd3
hex74c1fe640

31341930048 has 672 divisors, whose sum is σ = 116028581760. Its totient is φ = 8241315840.

The previous prime is 31341930023. The next prime is 31341930091. The reversal of 31341930048 is 84003914313.

31341930048 is a `hidden beast` number, since 3 + 1 + 341 + 9 + 300 + 4 + 8 = 666.

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 = 31341929994 and 31341930021.

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 95 ways as a sum of consecutive naturals, for example, 37806498 + ... + 37807326.

It is an arithmetic number, because the mean of its divisors is an integer number (172661580).

Almost surely, 231341930048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31341930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58014290880).

31341930048 is an abundant number, since it is smaller than the sum of its proper divisors (84686651712).

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

31341930048 is a wasteful number, since it uses less digits than its factorization.

31341930048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 31341930048 in words is "thirty-one billion, three hundred forty-one million, nine hundred thirty thousand, forty-eight".