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12253621032 = 2337700367
BaseRepresentation
bin10110110100101111…
…10110101100101000
31011121222100110000000
423122113312230220
5200043411333112
65343525343000
7612441026442
oct133227665450
934558313000
1012253621032
115218938934
12245b867a60
131203874443
1484359b492
154bab6c7dc
hex2da5f6b28

12253621032 has 64 divisors (see below), whose sum is σ = 34458105600. Its totient is φ = 4084534512.

The previous prime is 12253621021. The next prime is 12253621043. The reversal of 12253621032 is 23012635221.

It is a happy number.

12253621032 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 3 + 621 + 0 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (12253621021) and next prime (12253621043).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12253620987 and 12253621005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332688 + ... + 367679.

It is an arithmetic number, because the mean of its divisors is an integer number (538407900).

Almost surely, 212253621032 is an apocalyptic number.

12253621032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12253621032 is an abundant number, since it is smaller than the sum of its proper divisors (22204484568).

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

12253621032 is an frugal number, since it uses more digits than its factorization.

12253621032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700394 (or 700372 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 12253621032 in words is "twelve billion, two hundred fifty-three million, six hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 8748 17496 700367 1400734 2101101 2801468 4202202 5602936 6303303 8404404 12606606 16808808 18909909 25213212 37819818 50426424 56729727 75639636 113459454 151279272 170189181 226918908 340378362 453837816 510567543 680756724 1021135086 1361513448 1531702629 2042270172 3063405258 4084540344 6126810516 12253621032