Search a number
-
+
474336001152 = 273213283111919
BaseRepresentation
bin1101110011100001010…
…00001111110010000000
31200100100021212111020200
412321300220033302000
530232420004014102
61001523522405200
746161326325306
oct6716050176200
91610307774220
10474336001152
1117318a3412a2
1277b1a200800
133596419b840
1418d5a9d4276
15c512a0051c
hex6e70a0fc80

474336001152 has 192 divisors, whose sum is σ = 1475154844800. Its totient is φ = 145432516608.

The previous prime is 474336001109. The next prime is 474336001169. The reversal of 474336001152 is 251100633474.

474336001152 is a `hidden beast` number, since 4 + 7 + 4 + 33 + 600 + 1 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 4182249 + ... + 4294167.

It is an arithmetic number, because the mean of its divisors is an integer number (7683098150).

Almost surely, 2474336001152 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 474336001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737577422400).

474336001152 is an abundant number, since it is smaller than the sum of its proper divisors (1000818843648).

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

474336001152 is a wasteful number, since it uses less digits than its factorization.

474336001152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112235 (or 112220 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 474336001152 in words is "four hundred seventy-four billion, three hundred thirty-six million, one thousand, one hundred fifty-two".