Search a number
-
+
200073634016 = 2519881373517
BaseRepresentation
bin1011101001010101010…
…0010110000011100000
3201010102110211200101012
42322111110112003200
511234222322242031
6231525040200052
720312003554304
oct2722524260340
9633373750335
10200073634016
117793a394563
1232938309028
1315b36660ab9
14997dbabd04
15530eb6bb2b
hex2e955160e0

200073634016 has 48 divisors (see below), whose sum is σ = 415098023760. Its totient is φ = 94663895040.

The previous prime is 200073634009. The next prime is 200073634027. The reversal of 200073634016 is 610436370002.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348890 + ... + 722406.

It is an arithmetic number, because the mean of its divisors is an integer number (8647875495).

Almost surely, 2200073634016 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 200073634016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207549011880).

200073634016 is an abundant number, since it is smaller than the sum of its proper divisors (215024389744).

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

200073634016 is a wasteful number, since it uses less digits than its factorization.

200073634016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374427 (or 374419 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 200073634016 in words is "two hundred billion, seventy-three million, six hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 881 1762 3524 7048 14096 16739 28192 33478 66956 133912 267824 373517 535648 747034 1494068 2988136 5976272 7096823 11952544 14193646 28387292 56774584 113549168 227098336 329068477 658136954 1316273908 2632547816 5265095632 6252301063 10530191264 12504602126 25009204252 50018408504 100036817008 200073634016