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4002456645 = 35511299473
BaseRepresentation
bin1110111010010000…
…1010010001000101
3101022221022212100000
43232210022101011
531144112103040
61501054311513
7201120214545
oct35644122105
911287285300
104002456645
111774311a10
129384b8599
134ba2a1955
1429d7d3325
151865ad130
hexee90a445

4002456645 has 48 divisors (see below), whose sum is σ = 7848614592. Its totient is φ = 1940578560.

The previous prime is 4002456643. The next prime is 4002456677. The reversal of 4002456645 is 5466542004.

4002456645 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 4 + 5 + 6 + 645 = 666.

It is not a de Polignac number, because 4002456645 - 21 = 4002456643 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002456643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136372 + ... + 163101.

It is an arithmetic number, because the mean of its divisors is an integer number (163512804).

Almost surely, 24002456645 is an apocalyptic number.

4002456645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4002456645 is a deficient number, since it is larger than the sum of its proper divisors (3846157947).

4002456645 is a wasteful number, since it uses less digits than its factorization.

4002456645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299504 (or 299492 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4002456645 is about 63264.9717063084. The cubic root of 4002456645 is about 1587.7259588670.

Adding to 4002456645 its reverse (5466542004), we get a palindrome (9468998649).

It can be divided in two parts, 40024 and 56645, that added together give a palindrome (96669).

The spelling of 4002456645 in words is "four billion, two million, four hundred fifty-six thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 297 405 495 891 1215 1485 2673 4455 13365 299473 898419 1497365 2695257 3294203 4492095 8085771 9882609 13476285 16471015 24257313 29647827 40428855 49413045 72771939 88943481 121286565 148239135 266830443 363859695 444717405 800491329 1334152215 4002456645