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13621645460 = 2253718407629
BaseRepresentation
bin11001010111110100…
…11101000010010100
31022011022112021201102
430223322131002110
5210344120123320
610131355045232
7661362035033
oct145372350224
938138467642
1013621645460
115860077935
122781a40818
131391108957
1493314871a
1554ace8175
hex32be9d094

13621645460 has 24 divisors (see below), whose sum is σ = 29378577480. Its totient is φ = 5301396864.

The previous prime is 13621645441. The next prime is 13621645463. The reversal of 13621645460 is 6454612631.

13621645460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1582289284 + 12039356176 = 39778^2 + 109724^2 .

It is a super-2 number, since 2×136216454602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13621645463) by changing a digit.

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, 9203075 + ... + 9204554.

It is an arithmetic number, because the mean of its divisors is an integer number (1224107395).

Almost surely, 213621645460 is an apocalyptic number.

13621645460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13621645460 is an abundant number, since it is smaller than the sum of its proper divisors (15756932020).

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

13621645460 is a wasteful number, since it uses less digits than its factorization.

13621645460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18407675 (or 18407673 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 13621645460 in words is "thirteen billion, six hundred twenty-one million, six hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 18407629 36815258 73630516 92038145 184076290 368152580 681082273 1362164546 2724329092 3405411365 6810822730 13621645460