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64242250101445 = 5132509149364109
BaseRepresentation
bin11101001101101100100000…
…11111110011001011000101
322102110111110212101102210211
432212312100133303023011
531410021112011221240
6344344252100515421
716350230563015063
oct1646662037631305
9272414425342724
1064242250101445
1119518a92432489
1272566b36abb71
1329b0030c6c600
1411c14ad0c5033
1576614d2d0bea
hex3a6d907f32c5

64242250101445 has 24 divisors (see below), whose sum is σ = 83640914317800. Its totient is φ = 47347227323136.

The previous prime is 64242250101437. The next prime is 64242250101499. The reversal of 64242250101445 is 54410105224246.

It can be written as a sum of positive squares in 12 ways, for example, as 30305124090081 + 33937126011364 = 5505009^2 + 5825558^2 .

It is not a de Polignac number, because 64242250101445 - 23 = 64242250101437 is a prime.

It is a super-2 number, since 2×642422501014452 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64242250101398 and 64242250101407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74251950 + ... + 75112159.

It is an arithmetic number, because the mean of its divisors is an integer number (3485038096575).

Almost surely, 264242250101445 is an apocalyptic number.

64242250101445 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

64242250101445 is a deficient number, since it is larger than the sum of its proper divisors (19398664216355).

64242250101445 is a wasteful number, since it uses less digits than its factorization.

64242250101445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149364649 (or 149364636 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

The spelling of 64242250101445 in words is "sixty-four trillion, two hundred forty-two billion, two hundred fifty million, one hundred one thousand, four hundred forty-five".

Divisors: 1 5 13 65 169 509 845 2545 6617 33085 86021 430105 149364109 746820545 1941733417 9708667085 25242534421 76026331481 126212672105 380131657405 988342309253 4941711546265 12848450020289 64242250101445