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930394002252 = 223111317131243461
BaseRepresentation
bin11011000100111111100…
…11011101001101001100
310021221111202110101002110
431202133303131031030
5110220421331033002
61551230032224020
7124135013351001
oct15423763351514
93257452411073
10930394002252
1132963a182620
1213039709b010
1369974672820
1433061cb38a8
1519305a31e6c
hexd89fcdd34c

930394002252 has 192 divisors, whose sum is σ = 2721102709248. Its totient is φ = 243070464000.

The previous prime is 930394002221. The next prime is 930394002253. The reversal of 930394002252 is 252200493039.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 930394002252.

It is not an unprimeable number, because it can be changed into a prime (930394002253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3699802 + ... + 3943262.

It is an arithmetic number, because the mean of its divisors is an integer number (14172409944).

Almost surely, 2930394002252 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 930394002252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360551354624).

930394002252 is an abundant number, since it is smaller than the sum of its proper divisors (1790708706996).

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

930394002252 is a wasteful number, since it uses less digits than its factorization.

930394002252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243640 (or 243638 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 930394002252 in words is "nine hundred thirty billion, three hundred ninety-four million, two thousand, two hundred fifty-two".