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42064601464611 = 33111372218946591
BaseRepresentation
bin10011001000001111011011…
…01000001011111100100011
312111221100002101211021211000
421210013231220023330203
521003141300433331421
6225244113334523043
711601032015662155
oct1144075550137443
9174840071737730
1042064601464611
11124485519a5430
124874499b06483
131a618a0999b2b
14a55d1a9baad5
154ce2e43ce226
hex2641eda0bf23

42064601464611 has 64 divisors (see below), whose sum is σ = 68483978035200. Its totient is φ = 25305928761600.

The previous prime is 42064601464607. The next prime is 42064601464643. The reversal of 42064601464611 is 11646410646024.

42064601464611 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 46 + 0 + 146 + 461 + 1 = 666.

42064601464611 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42064601464611 - 22 = 42064601464607 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42064601464651) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 902824926 + ... + 902871516.

It is an arithmetic number, because the mean of its divisors is an integer number (1070062156800).

Almost surely, 242064601464611 is an apocalyptic number.

42064601464611 is a deficient number, since it is larger than the sum of its proper divisors (26419376570589).

42064601464611 is a wasteful number, since it uses less digits than its factorization.

42064601464611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68937 (or 68931 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 42064601464611 in words is "forty-two trillion, sixty-four billion, six hundred one million, four hundred sixty-four thousand, six hundred eleven".

Divisors: 1 3 9 11 27 33 99 137 297 411 1233 1507 3699 4521 13563 22189 40689 46591 66567 139773 199701 244079 419319 512501 599103 732237 1257957 1537503 2196711 3039893 4612509 6382967 6590133 9119679 13837527 19148901 27359037 33438823 57446703 70212637 82077111 100316469 172340109 210637911 300949407 631913733 902848221 1033807699 1895741199 3101423097 9304269291 11371884689 27912807873 34115654067 102346962201 141631654763 307040886603 424894964289 1274684892867 1557948202393 3824054678601 4673844607179 14021533821537 42064601464611