Search a number
-
+
484700061780 = 2235511174379157
BaseRepresentation
bin1110000110110100110…
…00000000000001010100
31201100002120200022200000
413003122120000001110
530420131203434110
61010400152251300
750006214355434
oct7033230000124
91640076608600
10484700061780
11177618604460
1279b310a0b30
13369264260ac
14196612442c4
15c91c8231c0
hex70da600054

484700061780 has 1152 divisors, whose sum is σ = 1836556001280. Its totient is φ = 105972572160.

The previous prime is 484700061731. The next prime is 484700061821. The reversal of 484700061780 is 87160007484.

484700061780 is a `hidden beast` number, since 4 + 8 + 470 + 0 + 0 + 6 + 178 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3087261462 + ... + 3087261618.

It is an arithmetic number, because the mean of its divisors is an integer number (1594232640).

Almost surely, 2484700061780 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 484700061780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918278000640).

484700061780 is an abundant number, since it is smaller than the sum of its proper divisors (1351855939500).

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

484700061780 is a wasteful number, since it uses less digits than its factorization.

484700061780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 484700061780 in words is "four hundred eighty-four billion, seven hundred million, sixty-one thousand, seven hundred eighty".