Search a number
-
+
2135666147992 = 2313229859104393
BaseRepresentation
bin11111000100111111100…
…111110100001010011000
321120011112020122020101221
4133010333213310022120
5234442321013213432
64313040025221424
7310203540510226
oct37047747641230
97504466566357
102135666147992
11753804955853
122a5aa6331874
131265142b37a0
147551c6a1b16
153a8484ceb97
hex1f13f9f4298

2135666147992 has 64 divisors (see below), whose sum is σ = 4336317972000. Its totient is φ = 980235869184.

The previous prime is 2135666147977. The next prime is 2135666148029. The reversal of 2135666147992 is 2997416665312.

It is a happy number.

It is a super-2 number, since 2×21356661479922 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2135666147992.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20405748 + ... + 20510140.

Almost surely, 22135666147992 is an apocalyptic number.

It is an amenable number.

2135666147992 is an abundant number, since it is smaller than the sum of its proper divisors (2200651824008).

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

2135666147992 is a wasteful number, since it uses less digits than its factorization.

2135666147992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105500 (or 105496 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 61.

The spelling of 2135666147992 in words is "two trillion, one hundred thirty-five billion, six hundred sixty-six million, one hundred forty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 26 52 104 229 458 859 916 1718 1832 2977 3436 5954 6872 11167 11908 22334 23816 44668 89336 104393 196711 208786 393422 417572 786844 835144 1357109 1573688 2557243 2714218 5114486 5428436 10228972 10856872 20457944 23905997 47811994 89673587 95623988 179347174 191247976 310777961 358694348 621555922 717388696 1165756631 1243111844 2331513262 2486223688 4663026524 9326053048 20535251423 41070502846 82141005692 164282011384 266958268499 533916536998 1067833073996 2135666147992