Search a number
-
+
200785972020 = 22353610792681
BaseRepresentation
bin1011101011111111000…
…1101100101100110100
3201012021010020012102020
42322333301230230310
511242202202101040
6232123444113140
720335443413424
oct2727761545464
9635233205366
10200785972020
11781754a0657
1232ab69957b0
1315c1b0ccc8a
149a0a638484
155352479cd0
hex2ebfc6cb34

200785972020 has 48 divisors (see below), whose sum is σ = 562222358208. Its totient is φ = 53540865280.

The previous prime is 200785972001. The next prime is 200785972043. The reversal of 200785972020 is 20279587002.

It is a happy number.

It is a super-3 number, since 3×2007859720203 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2120080 + ... + 2212760.

It is an arithmetic number, because the mean of its divisors is an integer number (11712965796).

Almost surely, 2200785972020 is an apocalyptic number.

200785972020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200785972020 is an abundant number, since it is smaller than the sum of its proper divisors (361436386188).

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

200785972020 is a wasteful number, since it uses less digits than its factorization.

200785972020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128800 (or 128798 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 200785972020 in words is "two hundred billion, seven hundred eighty-five million, nine hundred seventy-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 36107 72214 92681 108321 144428 180535 185362 216642 278043 361070 370724 433284 463405 541605 556086 722140 926810 1083210 1112172 1390215 1853620 2166420 2780430 5560860 3346432867 6692865734 10039298601 13385731468 16732164335 20078597202 33464328670 40157194404 50196493005 66928657340 100392986010 200785972020