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22016434145664 = 27378190637703
BaseRepresentation
bin1010000000110000110011…
…01111001000100110000000
32212221202021011001110022110
411000120121233020212000
510341204124120130124
6114454113223535320
74431430522325040
oct500303157104600
985852234043273
1022016434145664
117019132120792
122576b232ba540
13c391aa53984a
1456185b5b1720
15282a70a15029
hex140619bc8980

22016434145664 has 64 divisors (see below), whose sum is σ = 66835603664640. Its totient is φ = 6290409755136.

The previous prime is 22016434145633. The next prime is 22016434145729. The reversal of 22016434145664 is 46654143461022.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4095316164 + ... + 4095321539.

It is an arithmetic number, because the mean of its divisors is an integer number (1044306307260).

Almost surely, 222016434145664 is an apocalyptic number.

22016434145664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22016434145664 is an abundant number, since it is smaller than the sum of its proper divisors (44819169518976).

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

22016434145664 is an equidigital number, since it uses as much as digits as its factorization.

22016434145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8190637727 (or 8190637715 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 22016434145664 in words is "twenty-two trillion, sixteen billion, four hundred thirty-four million, one hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 8190637703 16381275406 24571913109 32762550812 49143826218 57334463921 65525101624 98287652436 114668927842 131050203248 172003391763 196575304872 229337855684 262100406496 344006783526 393150609744 458675711368 524200812992 688013567052 786301219488 917351422736 1048401625984 1376027134104 1572602438976 1834702845472 2752054268208 3145204877952 3669405690944 5504108536416 7338811381888 11008217072832 22016434145664