Search a number
-
+
12153440052 = 22321371365759
BaseRepresentation
bin10110101000110011…
…01100011100110100
31011100222211201112100
423110121230130310
5144342240040202
65325550222100
7610113351555
oct132431543464
934328751470
1012153440052
115177333436
1224321b4930
1311b8b99460
1483416032c
154b1e7e41c
hex2d466c734

12153440052 has 72 divisors (see below), whose sum is σ = 33550433280. Its totient is φ = 3686840640.

The previous prime is 12153440021. The next prime is 12153440053. The reversal of 12153440052 is 25004435121.

12153440052 is a `hidden beast` number, since 1 + 215 + 3 + 440 + 0 + 5 + 2 = 666.

12153440052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121534400522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12153439998 and 12153440025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12153440053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149652 + ... + 216107.

It is an arithmetic number, because the mean of its divisors is an integer number (465978240).

Almost surely, 212153440052 is an apocalyptic number.

12153440052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12153440052 is an abundant number, since it is smaller than the sum of its proper divisors (21396993228).

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

12153440052 is a wasteful number, since it uses less digits than its factorization.

12153440052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365853 (or 365848 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 12153440052 its reverse (25004435121), we get a palindrome (37157875173).

The spelling of 12153440052 in words is "twelve billion, one hundred fifty-three million, four hundred forty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 117 142 156 213 234 284 426 468 639 852 923 1278 1846 2556 2769 3692 5538 8307 11076 16614 33228 365759 731518 1097277 1463036 2194554 3291831 4389108 4754867 6583662 9509734 13167324 14264601 19019468 25968889 28529202 42793803 51937778 57058404 77906667 85587606 103875556 155813334 171175212 233720001 311626668 337595557 467440002 675191114 934880004 1012786671 1350382228 2025573342 3038360013 4051146684 6076720026 12153440052