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12249161040 = 243551038171
BaseRepresentation
bin10110110100001101…
…10101110101010000
31011121122221212001010
423122012311311100
5200041241123130
65343250010520
7612355102524
oct133206656520
934548855033
1012249161040
115216371a96
12245a276a40
1312029723ac
14842b59d84
154ba58b0b0
hex2da1b5d50

12249161040 has 40 divisors (see below), whose sum is σ = 37972399968. Its totient is φ = 3266442880.

The previous prime is 12249161039. The next prime is 12249161081. The reversal of 12249161040 is 4016194221.

12249161040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12249160989 and 12249161007.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25518846 + ... + 25519325.

Almost surely, 212249161040 is an apocalyptic number.

12249161040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12249161040 is an abundant number, since it is smaller than the sum of its proper divisors (25723238928).

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

12249161040 is a wasteful number, since it uses less digits than its factorization.

12249161040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51038187 (or 51038181 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 12249161040 in words is "twelve billion, two hundred forty-nine million, one hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 51038171 102076342 153114513 204152684 255190855 306229026 408305368 510381710 612458052 765572565 816610736 1020763420 1224916104 1531145130 2041526840 2449832208 3062290260 4083053680 6124580520 12249161040