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2553994410 = 2351137320749
BaseRepresentation
bin1001100000111010…
…1101110010101010
320120222210100200120
42120032231302222
520212310310120
61101232544110
7120201410562
oct23016556252
96528710616
102553994410
1110a0732890
125b33b2036
133191859c6
141a32a7da2
15ee344140
hex983adcaa

2553994410 has 64 divisors (see below), whose sum is σ = 6705072000. Its totient is φ = 617460480.

The previous prime is 2553994409. The next prime is 2553994441. The reversal of 2553994410 is 144993552.

2553994410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25539944102 = 13045774892622496200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112716 + ... + 133464.

It is an arithmetic number, because the mean of its divisors is an integer number (104766750).

Almost surely, 22553994410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553994410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352536000).

2553994410 is an abundant number, since it is smaller than the sum of its proper divisors (4151077590).

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

2553994410 is a wasteful number, since it uses less digits than its factorization.

2553994410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21143.

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 2553994410 is about 50537.0597680554. The cubic root of 2553994410 is about 1366.9101890723.

The spelling of 2553994410 in words is "two billion, five hundred fifty-three million, nine hundred ninety-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 373 746 1119 1865 2238 3730 4103 5595 8206 11190 12309 20515 20749 24618 41030 41498 61545 62247 103745 123090 124494 207490 228239 311235 456478 622470 684717 1141195 1369434 2282390 3423585 6847170 7739377 15478754 23218131 38696885 46436262 77393770 85133147 116090655 170266294 232181310 255399441 425665735 510798882 851331470 1276997205 2553994410