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21381257466 = 23212743121701
BaseRepresentation
bin10011111010011011…
…000001100011111010
32001012002121102021200
4103322123001203322
5322242100214331
613453350315030
71354563455412
oct237233014372
961162542250
1021381257466
119082187218
124188658a76
1320298c344a
14106b919642
1585215c5e6
hex4fa6c18fa

21381257466 has 48 divisors (see below), whose sum is σ = 46801317888. Its totient is φ = 7054236000.

The previous prime is 21381257461. The next prime is 21381257483. The reversal of 21381257466 is 66475218312.

21381257466 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 12 + 574 + 66 = 666.

It is not an unprimeable number, because it can be changed into a prime (21381257461) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 974416 + ... + 996116.

It is an arithmetic number, because the mean of its divisors is an integer number (975027456).

Almost surely, 221381257466 is an apocalyptic number.

21381257466 is an abundant number, since it is smaller than the sum of its proper divisors (25420060422).

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

21381257466 is a wasteful number, since it uses less digits than its factorization.

21381257466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22267 (or 22264 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 21381257466 in words is "twenty-one billion, three hundred eighty-one million, two hundred fifty-seven thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 127 254 381 431 762 862 1143 1293 2286 2586 3879 7758 21701 43402 54737 65103 109474 130206 164211 195309 328422 390618 492633 985266 2756027 5512054 8268081 9353131 16536162 18706262 24804243 28059393 49608486 56118786 84178179 168356358 1187847637 2375695274 3563542911 7127085822 10690628733 21381257466