Search a number
-
+
422785959552 = 273211194142829
BaseRepresentation
bin1100010011100000000…
…00011100011010000000
31111102021200101001021200
412021300000130122000
523411331201201202
6522120350221200
742355013234655
oct6116000343200
91442250331250
10422785959552
1115333671a030
1269b321b4800
1330b3a268548
141666a495c2c
15aee7028e1c
hex627001c680

422785959552 has 384 divisors, whose sum is σ = 1431173016000. Its totient is φ = 118410854400.

The previous prime is 422785959527. The next prime is 422785959587. The reversal of 422785959552 is 255959587224.

422785959552 is a `hidden beast` number, since 4 + 2 + 2 + 78 + 5 + 9 + 5 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 422785959552.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9850074 + ... + 9892902.

Almost surely, 2422785959552 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 422785959552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715586508000).

422785959552 is an abundant number, since it is smaller than the sum of its proper divisors (1008387056448).

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

422785959552 is a wasteful number, since it uses less digits than its factorization.

422785959552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42920 (or 42905 counting only the distinct ones).

The product of its digits is 90720000, while the sum is 63.

The spelling of 422785959552 in words is "four hundred twenty-two billion, seven hundred eighty-five million, nine hundred fifty-nine thousand, five hundred fifty-two".