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221431473347264 = 2667175961293473
BaseRepresentation
bin110010010110010000001000…
…010011111001101011000000
31002001000122100002202001120022
4302112100020103321223000
5213010413124134103024
62102540114201233012
764432616222125415
oct6226201023715300
91061018302661508
10221431473347264
1164611618aa8274
1220a02aa0492768
139672b8a86158b
143c974aa45c10c
151a8ee1a1e135e
hexc964084f9ac0

221431473347264 has 56 divisors (see below), whose sum is σ = 445965388888368. Its totient is φ = 109062271549440.

The previous prime is 221431473347257. The next prime is 221431473347303. The reversal of 221431473347264 is 462743374134122.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 754374032 + ... + 754667504.

Almost surely, 2221431473347264 is an apocalyptic number.

It is an amenable number.

221431473347264 is an abundant number, since it is smaller than the sum of its proper divisors (224533915541104).

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

221431473347264 is a wasteful number, since it uses less digits than its factorization.

221431473347264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469513 (or 469503 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 53.

The spelling of 221431473347264 in words is "two hundred twenty-one trillion, four hundred thirty-one billion, four hundred seventy-three million, three hundred forty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 67 134 268 536 1072 2144 4288 175961 293473 351922 586946 703844 1173892 1407688 2347784 2815376 4695568 5630752 9391136 11261504 11789387 18782272 19662691 23578774 39325382 47157548 78650764 94315096 157301528 188630192 314603056 377260384 629206112 754520768 1258412224 51639802553 103279605106 206559210212 413118420424 826236840848 1652473681696 3304947363392 3459866771051 6919733542102 13839467084204 27678934168408 55357868336816 110715736673632 221431473347264