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19890110464 = 2167191227
BaseRepresentation
bin10010100001100010…
…110000000000000000
31220100011202022010221
4102201202300000000
5311213332013324
613045402032424
71302616102150
oct224142600000
956304668127
1019890110464
1184874a3424
123a311a8714
131b4c9b0943
14d6987c760
157b62b10e4
hex4a18b0000

19890110464 has 136 divisors (see below), whose sum is σ = 45902112768. Its totient is φ = 8442347520.

The previous prime is 19890110417. The next prime is 19890110467. The reversal of 19890110464 is 46401109891.

It is a self number, because there is not a number n which added to its sum of digits gives 19890110464.

It is not an unprimeable number, because it can be changed into a prime (19890110467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87621519 + ... + 87621745.

Almost surely, 219890110464 is an apocalyptic number.

19890110464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19890110464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22951056384).

19890110464 is an abundant number, since it is smaller than the sum of its proper divisors (26012002304).

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

19890110464 is an frugal number, since it uses more digits than its factorization.

19890110464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The spelling of 19890110464 in words is "nineteen billion, eight hundred ninety million, one hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 191 224 227 256 382 448 454 512 764 896 908 1024 1337 1528 1589 1792 1816 2048 2674 3056 3178 3584 3632 4096 5348 6112 6356 7168 7264 8192 10696 12224 12712 14336 14528 16384 21392 24448 25424 28672 29056 32768 42784 43357 48896 50848 57344 58112 65536 85568 86714 97792 101696 114688 116224 171136 173428 195584 203392 229376 232448 303499 342272 346856 391168 406784 458752 464896 606998 684544 693712 782336 813568 929792 1213996 1369088 1387424 1564672 1627136 1859584 2427992 2738176 2774848 3129344 3254272 3719168 4855984 5476352 5549696 6258688 6508544 7438336 9711968 10952704 11099392 12517376 13017088 14876672 19423936 21905408 22198784 26034176 38847872 43810816 44397568 52068352 77695744 87621632 88795136 104136704 155391488 177590272 310782976 355180544 621565952 710361088 1243131904 1420722176 2486263808 2841444352 4972527616 9945055232 19890110464