Search a number
-
+
202064925216 = 253721119474373
BaseRepresentation
bin1011110000110000000…
…0100001001000100000
3201022120020210202101010
42330030000201020200
511302312110101331
6232454412340520
720412233345100
oct2741400411040
9638506722333
10202064925216
1178771423070
12331b3174740
131609307920b
149acc43b200
1553c98ade46
hex2f0c021220

202064925216 has 576 divisors, whose sum is σ = 723780126720. Its totient is φ = 48653015040.

The previous prime is 202064925199. The next prime is 202064925239. The reversal of 202064925216 is 612529460202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46205206 + ... + 46209578.

It is an arithmetic number, because the mean of its divisors is an integer number (1256562720).

Almost surely, 2202064925216 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 202064925216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361890063360).

202064925216 is an abundant number, since it is smaller than the sum of its proper divisors (521715201504).

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

202064925216 is a wasteful number, since it uses less digits than its factorization.

202064925216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4477 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 202064925216 in words is "two hundred two billion, sixty-four million, nine hundred twenty-five thousand, two hundred sixteen".