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2553666440 = 235134910897
BaseRepresentation
bin1001100000110101…
…1101101110001000
320120222011200210112
42120031131232020
520212214311230
61101221533452
7120165543443
oct23015355610
96528150715
102553666440
1110a0529436
125b3274288
1331909c640
141a322065a
15ee2cbd95
hex9835db88

2553666440 has 32 divisors (see below), whose sum is σ = 6187731480. Its totient is φ = 942892032.

The previous prime is 2553666433. The next prime is 2553666469. The reversal of 2553666440 is 446663552.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 801909124 + 1751757316 = 28318^2 + 41854^2 .

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, 2454929 + ... + 2455968.

Almost surely, 22553666440 is an apocalyptic number.

2553666440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2553666440 is an abundant number, since it is smaller than the sum of its proper divisors (3634065040).

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

2553666440 is a wasteful number, since it uses less digits than its factorization.

2553666440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910921 (or 4910917 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 41.

The square root of 2553666440 is about 50533.8148174072. The cubic root of 2553666440 is about 1366.8516761896.

The spelling of 2553666440 in words is "two billion, five hundred fifty-three million, six hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 4910897 9821794 19643588 24554485 39287176 49108970 63841661 98217940 127683322 196435880 255366644 319208305 510733288 638416610 1276833220 2553666440