Search a number
-
+
474967500084 = 2233711442112919
BaseRepresentation
bin1101110100101100100…
…01001110010100110100
31200101222022010221221000
412322112101032110310
530240213140000314
61002110321523300
746213065065130
oct6722621162464
91611868127830
10474967500084
11173483853840
12780757a3530
1335a34c7574c
1418dba81a3c0
15c54d191209
hex6e9644e534

474967500084 has 192 divisors, whose sum is σ = 1535714611200. Its totient is φ = 123330729600.

The previous prime is 474967500061. The next prime is 474967500127. The reversal of 474967500084 is 480005769474.

474967500084 is a `hidden beast` number, since 4 + 7 + 496 + 75 + 0 + 0 + 0 + 84 = 666.

It is a super-2 number, since 2×4749675000842 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 474967500084.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 36758577 + ... + 36771495.

It is an arithmetic number, because the mean of its divisors is an integer number (7998513600).

Almost surely, 2474967500084 is an apocalyptic number.

474967500084 is a gapful number since it is divisible by the number (44) 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 474967500084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767857305600).

474967500084 is an abundant number, since it is smaller than the sum of its proper divisors (1060747111116).

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

474967500084 is a wasteful number, since it uses less digits than its factorization.

474967500084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17371 (or 17363 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 474967500084 in words is "four hundred seventy-four billion, nine hundred sixty-seven million, five hundred thousand, eighty-four".