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206633126140 = 225714449102149
BaseRepresentation
bin1100000001110001001…
…0110100100011111100
3201202100121200101221221
43000130102310203330
511341141040014030
6234532001003124
720633363410120
oct3003422644374
9652317611857
10206633126140
117a6a6016031
12340690234a4
131664061169c
14a00301b580
15559596ee7a
hex301c4b48fc

206633126140 has 48 divisors (see below), whose sum is σ = 495958680000. Its totient is φ = 70840046592.

The previous prime is 206633126131. The next prime is 206633126143. The reversal of 206633126140 is 41621336602.

It is a junction number, because it is equal to n+sod(n) for n = 206633126096 and 206633126105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206633126143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1971786 + ... + 2073934.

It is an arithmetic number, because the mean of its divisors is an integer number (10332472500).

Almost surely, 2206633126140 is an apocalyptic number.

206633126140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206633126140 is an abundant number, since it is smaller than the sum of its proper divisors (289325553860).

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

206633126140 is a wasteful number, since it uses less digits than its factorization.

206633126140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116614 (or 116612 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 206633126140 in words is "two hundred six billion, six hundred thirty-three million, one hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 14449 28898 57796 72245 101143 102149 144490 202286 204298 288980 404572 408596 505715 510745 715043 1011430 1021490 1430086 2022860 2042980 2860172 3575215 7150430 14300860 1475950901 2951901802 5903803604 7379754505 10331656307 14759509010 20663312614 29519018020 41326625228 51658281535 103316563070 206633126140