Search a number
-
+
11620516032 = 2632103195869
BaseRepresentation
bin10101101001010001…
…10000000011000000
31002222212001101012200
422310220300003000
5142244323003112
65201031553200
7560652520326
oct126450600300
932885041180
1011620516032
114a23529764
12230382b800
1311326574b8
147c3477d16
154802b0cdc
hex2b4a300c0

11620516032 has 84 divisors (see below), whose sum is σ = 33631662480. Its totient is φ = 3835878912.

The previous prime is 11620516031. The next prime is 11620516057. The reversal of 11620516032 is 23061502611.

11620516032 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 0 + 51 + 603 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11620515987 and 11620516005.

It is not an unprimeable number, because it can be changed into a prime (11620516031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38607 + ... + 157262.

Almost surely, 211620516032 is an apocalyptic number.

11620516032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11620516032 is an abundant number, since it is smaller than the sum of its proper divisors (22011146448).

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

11620516032 is a wasteful number, since it uses less digits than its factorization.

11620516032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195990 (or 195977 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 11620516032 in words is "eleven billion, six hundred twenty million, five hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 144 192 206 288 309 412 576 618 824 927 1236 1648 1854 2472 3296 3708 4944 6592 7416 9888 14832 19776 29664 59328 195869 391738 587607 783476 1175214 1566952 1762821 2350428 3133904 3525642 4700856 6267808 7051284 9401712 12535616 14102568 18803424 20174507 28205136 37606848 40349014 56410272 60523521 80698028 112820544 121047042 161396056 181570563 242094084 322792112 363141126 484188168 645584224 726282252 968376336 1291168448 1452564504 1936752672 2905129008 3873505344 5810258016 11620516032