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466507007142 = 231123213361603
BaseRepresentation
bin1101100100111011111…
…11000000010010100110
31122121010200020101110120
412302131333000102212
530120401243212032
6554151012102410
745463323064011
oct6623577002246
91577120211416
10466507007142
1116a932053210
12764b4304a06
1334cb72008c7
1418816d22378
15c20553362c
hex6c9dfc04a6

466507007142 has 48 divisors (see below), whose sum is σ = 1064011249728. Its totient is φ = 135219412240.

The previous prime is 466507007137. The next prime is 466507007143. The reversal of 466507007142 is 241700705664.

466507007142 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 466507007094 and 466507007103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466507007143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6645888 + ... + 6715715.

It is an arithmetic number, because the mean of its divisors is an integer number (22166901036).

Almost surely, 2466507007142 is an apocalyptic number.

466507007142 is an abundant number, since it is smaller than the sum of its proper divisors (597504242586).

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

466507007142 is a wasteful number, since it uses less digits than its factorization.

466507007142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13361665 (or 13361642 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 466507007142 in words is "four hundred sixty-six billion, five hundred seven million, seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 529 759 1058 1518 1587 3174 5819 11638 17457 34914 13361603 26723206 40084809 80169618 146977633 293955266 307316869 440932899 614633738 881865798 921950607 1843901214 3380485559 6760971118 7068287987 10141456677 14136575974 20282913354 21204863961 42409727922 77751167857 155502335714 233253503571 466507007142