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2643456420 = 22325111335079
BaseRepresentation
bin1001110110001111…
…1111000110100100
320211020010111111100
42131203333012210
520403211101140
61114150240100
7122336003013
oct23543770644
96736114440
102643456420
111137186a30
12619356030
13331879ac7
141b1114a7a
15107116530
hex9d8ff1a4

2643456420 has 72 divisors (see below), whose sum is σ = 8747444160. Its totient is φ = 640837440.

The previous prime is 2643456419. The next prime is 2643456443. The reversal of 2643456420 is 246543462.

2643456420 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 4 + 5 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665560 + ... + 669519.

It is an arithmetic number, because the mean of its divisors is an integer number (121492280).

Almost surely, 22643456420 is an apocalyptic number.

2643456420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2643456420 is an abundant number, since it is smaller than the sum of its proper divisors (6103987740).

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

2643456420 is a wasteful number, since it uses less digits than its factorization.

2643456420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335105 (or 1335100 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 2643456420 is about 51414.5545541338. The cubic root of 2643456420 is about 1382.6875477366.

Adding to 2643456420 its reverse (246543462), we get a palindrome (2889999882).

It can be divided in two parts, 2643456 and 420, that added together give a square (2643876 = 16262).

The spelling of 2643456420 in words is "two billion, six hundred forty-three million, four hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 1335079 2670158 4005237 5340316 6675395 8010474 12015711 13350790 14685869 16020948 20026185 24031422 26701580 29371738 40052370 44057607 48062844 58743476 60078555 73429345 80104740 88115214 120157110 132172821 146858690 176230428 220288035 240314220 264345642 293717380 440576070 528691284 660864105 881152140 1321728210 2643456420