Search a number
-
+
15152033321442 = 23223269136056187
BaseRepresentation
bin1101110001111101101110…
…0100000101000111100010
31222122112001020212022202200
43130133123210011013202
53441222331012241232
652120425323154030
73122461340123523
oct334373344050742
958575036768680
1015152033321442
114911a39885176
121848695375916
1385baa4b12004
143a551031684a
151b42149d977c
hexdc7db9051e2

15152033321442 has 48 divisors (see below), whose sum is σ = 34384119831360. Its totient is φ = 4813123635936.

The previous prime is 15152033321429. The next prime is 15152033321459. The reversal of 15152033321442 is 24412333025151.

15152033321442 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 203 + 3 + 3 + 2 + 1 + 442 = 666.

It is a super-2 number, since 2×151520333214422 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15152033321397 and 15152033321406.

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 23 ways as a sum of consecutive naturals, for example, 67916728 + ... + 68139459.

It is an arithmetic number, because the mean of its divisors is an integer number (716335829820).

Almost surely, 215152033321442 is an apocalyptic number.

15152033321442 is an abundant number, since it is smaller than the sum of its proper divisors (19232086509918).

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

15152033321442 is a wasteful number, since it uses less digits than its factorization.

15152033321442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136056487 (or 136056484 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 15152033321442 its reverse (24412333025151), we get a palindrome (39564366346593).

The spelling of 15152033321442 in words is "fifteen trillion, one hundred fifty-two billion, thirty-three million, three hundred twenty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 269 414 538 807 1614 2421 4842 6187 12374 18561 37122 55683 111366 136056187 272112374 408168561 816337122 1224505683 2449011366 3129292301 6258584602 9387876903 18775753806 28163630709 36599114303 56327261418 73198228606 109797342909 219594685818 329392028727 658784057454 841779628969 1683559257938 2525338886907 5050677773814 7576016660721 15152033321442