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12153244032 = 273267715583
BaseRepresentation
bin10110101000110001…
…11100100110000000
31011100222110202122100
423110120330212000
5144342212302112
65325542110400
7610111604226
oct132430744600
934328422570
1012153244032
11517720a136
12243211b400
1311b8b2b177
1483410cb16
154b1e412dc
hex2d463c980

12153244032 has 96 divisors (see below), whose sum is σ = 35026130880. Its totient is φ = 4044837888.

The previous prime is 12153244031. The next prime is 12153244063. The reversal of 12153244032 is 23044235121.

12153244032 is a `hidden beast` number, since 1 + 215 + 3 + 2 + 440 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12153243987 and 12153244005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12153244031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 772113 + ... + 787695.

It is an arithmetic number, because the mean of its divisors is an integer number (364855530).

Almost surely, 212153244032 is an apocalyptic number.

12153244032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12153244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17513065440).

12153244032 is an abundant number, since it is smaller than the sum of its proper divisors (22872886848).

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

12153244032 is a wasteful number, since it uses less digits than its factorization.

12153244032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16280 (or 16265 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12153244032 its reverse (23044235121), we get a palindrome (35197479153).

The spelling of 12153244032 in words is "twelve billion, one hundred fifty-three million, two hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 677 1152 1354 2031 2708 4062 5416 6093 8124 10832 12186 15583 16248 21664 24372 31166 32496 43328 46749 48744 62332 64992 86656 93498 97488 124664 129984 140247 186996 194976 249328 259968 280494 373992 389952 498656 560988 747984 779904 997312 1121976 1495968 1994624 2243952 2991936 4487904 5983872 8975808 10549691 17951616 21099382 31649073 42198764 63298146 84397528 94947219 126596292 168795056 189894438 253192584 337590112 379788876 506385168 675180224 759577752 1012770336 1350360448 1519155504 2025540672 3038311008 4051081344 6076622016 12153244032