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200600400264 = 23311759850001
BaseRepresentation
bin1011101011010010110…
…1110011000110001000
3201011210012001011211020
42322310231303012020
511241312200302024
6232053214432440
720331031161045
oct2726455630610
9634705034736
10200600400264
117808a772870
1232a64802720
1315bbb827cc4
1499cdb301cc
155341020979
hex2eb4b73188

200600400264 has 32 divisors (see below), whose sum is σ = 547092001440. Its totient is φ = 60788000000.

The previous prime is 200600400263. The next prime is 200600400271. The reversal of 200600400264 is 462004006002.

200600400264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2006004002642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (200600400263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379924737 + ... + 379925264.

It is an arithmetic number, because the mean of its divisors is an integer number (17096625045).

Almost surely, 2200600400264 is an apocalyptic number.

200600400264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200600400264 is an abundant number, since it is smaller than the sum of its proper divisors (346491601176).

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

200600400264 is a wasteful number, since it uses less digits than its factorization.

200600400264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759850021 (or 759850017 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 200600400264 its reverse (462004006002), we get a palindrome (662604406266).

The spelling of 200600400264 in words is "two hundred billion, six hundred million, four hundred thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 759850001 1519700002 2279550003 3039400004 4559100006 6078800008 8358350011 9118200012 16716700022 18236400024 25075050033 33433400044 50150100066 66866800088 100300200132 200600400264