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4642051206 = 2313599710399
BaseRepresentation
bin1000101001011000…
…00001010010000110
3102222111211122010110
410110230001102012
534001331114311
62044343133450
7223014532662
oct42454012206
912874748113
104642051206
111a72353861
12a96744286
1358c951680
143207258a2
151c27ec8a6
hex114b01486

4642051206 has 64 divisors (see below), whose sum is σ = 10273536000. Its totient is φ = 1389505536.

The previous prime is 4642051189. The next prime is 4642051207. The reversal of 4642051206 is 6021502464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4642051207) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 441195 + ... + 451593.

It is an arithmetic number, because the mean of its divisors is an integer number (160524000).

Almost surely, 24642051206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4642051206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136768000).

4642051206 is an abundant number, since it is smaller than the sum of its proper divisors (5631484794).

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

4642051206 is a wasteful number, since it uses less digits than its factorization.

4642051206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10573.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4642051206 is about 68132.6001705498. The cubic root of 4642051206 is about 1668.1559247011.

The spelling of 4642051206 in words is "four billion, six hundred forty-two million, fifty-one thousand, two hundred six".

Divisors: 1 2 3 6 13 26 39 59 78 97 118 177 194 291 354 582 767 1261 1534 2301 2522 3783 4602 5723 7566 10399 11446 17169 20798 31197 34338 62394 74399 135187 148798 223197 270374 405561 446394 613541 811122 1008703 1227082 1840623 2017406 3026109 3681246 6052218 7976033 13113139 15952066 23928099 26226278 39339417 47856198 59513477 78678834 119026954 178540431 357080862 773675201 1547350402 2321025603 4642051206