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474294983232 = 263717181114689
BaseRepresentation
bin1101110011011100010…
…11110001101001000000
31200100020102200120020110
412321232023301221000
530232324003430412
61001515455311320
746160320560450
oct6715613615100
91610212616213
10474294983232
11173169175994
1277b0851b540
1335958839895
1418d55397d60
15c50e0ebd3c
hex6e6e2f1a40

474294983232 has 224 divisors, whose sum is σ = 1526944124160. Its totient is φ = 126835752960.

The previous prime is 474294983153. The next prime is 474294983257. The reversal of 474294983232 is 232389492474.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4742949832322 (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 4078144 + ... + 4192832.

It is an arithmetic number, because the mean of its divisors is an integer number (6816714840).

Almost surely, 2474294983232 is an apocalyptic number.

474294983232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474294983232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763472062080).

474294983232 is an abundant number, since it is smaller than the sum of its proper divisors (1052649140928).

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

474294983232 is a wasteful number, since it uses less digits than its factorization.

474294983232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114909 (or 114899 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 57.

The spelling of 474294983232 in words is "four hundred seventy-four billion, two hundred ninety-four million, nine hundred eighty-three thousand, two hundred thirty-two".