Search a number
-
+
12153739536 = 243291872
BaseRepresentation
bin10110101000110101…
…10101100100010000
31011101000101221100100
423110122311210100
5144342324131121
65330000452400
7610116036651
oct132432654420
934330357310
1012153739536
115177518444
12243231a100
1311b8c72873
148341db528
154b1edd026
hex2d46b5910

12153739536 has 45 divisors (see below), whose sum is σ = 34017293271. Its totient is φ = 4050805536.

The previous prime is 12153739531. The next prime is 12153739537. The reversal of 12153739536 is 63593735121.

The square root of 12153739536 is 110244.

It is a perfect power (a square), and thus also a powerful number.

12153739536 is a `hidden beast` number, since 1 + 21 + 537 + 3 + 95 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12153739491 and 12153739500.

It is not an unprimeable number, because it can be changed into a prime (12153739531) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1318335 + ... + 1327521.

Almost surely, 212153739536 is an apocalyptic number.

12153739536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12153739536 is the 110244-th square number.

It is an amenable number.

12153739536 is an abundant number, since it is smaller than the sum of its proper divisors (21863553735).

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

12153739536 is an frugal number, since it uses more digits than its factorization.

12153739536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18388 (or 9192 counting only the distinct ones).

The product of its digits is 510300, while the sum is 45.

It can be divided in two parts, 12153 and 739536, that added together give a square (751689 = 8672).

The spelling of 12153739536 in words is "twelve billion, one hundred fifty-three million, seven hundred thirty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9187 18374 27561 36748 55122 73496 82683 110244 146992 165366 220488 330732 440976 661464 1322928 84400969 168801938 253202907 337603876 506405814 675207752 759608721 1012811628 1350415504 1519217442 2025623256 3038434884 4051246512 6076869768 12153739536