Search a number
-
+
473015124720 = 243251937934517
BaseRepresentation
bin1101110001000011110…
…01100000001011110000
31200012221020102000102100
412320201321200023300
530222213332442340
61001144455420400
746113520135515
oct6704171401360
91605836360370
10473015124720
11172671785286
127780b984700
13357b3634558
1418c733db30c
15c486a89830
hex6e21e602f0

473015124720 has 240 divisors, whose sum is σ = 1717345038240. Its totient is φ = 116268742656.

The previous prime is 473015124709. The next prime is 473015124721. The reversal of 473015124720 is 27421510374.

473015124720 is a `hidden beast` number, since 4 + 7 + 30 + 151 + 2 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473015124721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 38902 + ... + 973418.

It is an arithmetic number, because the mean of its divisors is an integer number (7155604326).

Almost surely, 2473015124720 is an apocalyptic number.

473015124720 is a gapful number since it is divisible by the number (40) 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 473015124720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858672519120).

473015124720 is an abundant number, since it is smaller than the sum of its proper divisors (1244329913520).

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

473015124720 is a wasteful number, since it uses less digits than its factorization.

473015124720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934592 (or 934583 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 473015124720 in words is "four hundred seventy-three billion, fifteen million, one hundred twenty-four thousand, seven hundred twenty".