Search a number
-
+
6415220269150 = 2527114338750953
BaseRepresentation
bin101110101011010100011…
…1011001110000001011110
3211201021210201201201001021
41131112220323032001132
51320101332342103100
621351040030234354
71231325065365550
oct135265073160136
924637721651037
106415220269150
112053752663290
128773903559ba
13376c5004a254
141826d95534d0
15b1d1bba5a1a
hex5d5a8ece05e

6415220269150 has 96 divisors (see below), whose sum is σ = 15222614761728. Its totient is φ = 1953047980800.

The previous prime is 6415220269127. The next prime is 6415220269151. The reversal of 6415220269150 is 519620225146.

It is a super-2 number, since 2×64152202691502 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a junction number, because it is equal to n+sod(n) for n = 6415220269097 and 6415220269106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6415220269151) 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 47 ways as a sum of consecutive naturals, for example, 19209927 + ... + 19541026.

It is an arithmetic number, because the mean of its divisors is an integer number (158568903768).

Almost surely, 26415220269150 is an apocalyptic number.

6415220269150 is an abundant number, since it is smaller than the sum of its proper divisors (8807394492578).

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

6415220269150 is a wasteful number, since it uses less digits than its factorization.

6415220269150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38751026 (or 38751021 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

It can be divided in two parts, 64152 and 20269150, that added together give a palindrome (20333302).

The spelling of 6415220269150 in words is "six trillion, four hundred fifteen billion, two hundred twenty million, two hundred sixty-nine thousand, one hundred fifty".

Divisors: 1 2 5 7 10 11 14 22 25 35 43 50 55 70 77 86 110 154 175 215 275 301 350 385 430 473 550 602 770 946 1075 1505 1925 2150 2365 3010 3311 3850 4730 6622 7525 11825 15050 16555 23650 33110 82775 165550 38750953 77501906 193754765 271256671 387509530 426260483 542513342 852520966 968773825 1356283355 1666290979 1937547650 2131302415 2712566710 2983823381 3332581958 4262604830 5967646762 6781416775 8331454895 10656512075 11664036853 13562833550 14919116905 16662909790 18329200769 21313024150 23328073706 29838233810 36658401538 41657274475 58320184265 74595584525 83314548950 91646003845 116640368530 128304405383 149191169050 183292007690 256608810766 291600921325 458230019225 583201842650 641522026915 916460038450 1283044053830 3207610134575 6415220269150