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2566396104 = 2335371157181
BaseRepresentation
bin1001100011111000…
…0001100011001000
320121212010102121120
42120332001203020
520223444133404
61102354435240
7120412002246
oct23076014310
96555112546
102566396104
1110a7733418
125b7592b20
1331b90879c
141a4bb5796
151004939d9
hex98f818c8

2566396104 has 128 divisors (see below), whose sum is σ = 6708199680. Its totient is φ = 817689600.

The previous prime is 2566396081. The next prime is 2566396111. The reversal of 2566396104 is 4016936652.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14178894 + ... + 14179074.

It is an arithmetic number, because the mean of its divisors is an integer number (52407810).

Almost surely, 22566396104 is an apocalyptic number.

2566396104 is a gapful number since it is divisible by the number (24) 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 2566396104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354099840).

2566396104 is an abundant number, since it is smaller than the sum of its proper divisors (4141803576).

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

2566396104 is a wasteful number, since it uses less digits than its factorization.

2566396104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 2566396104 is about 50659.6101840510. The cubic root of 2566396104 is about 1369.1190998250.

The spelling of 2566396104 in words is "two billion, five hundred sixty-six million, three hundred ninety-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 53 71 106 142 157 159 181 212 213 284 314 318 362 424 426 471 543 568 628 636 724 852 942 1086 1256 1272 1448 1704 1884 2172 3763 3768 4344 7526 8321 9593 11147 11289 12851 15052 16642 19186 22294 22578 24963 25702 28417 28779 30104 33284 33441 38372 38553 44588 45156 49926 51404 56834 57558 66568 66882 76744 77106 85251 89176 90312 99852 102808 113668 115116 133764 154212 170502 199704 227336 230232 267528 308424 341004 590791 681103 682008 1181582 1362206 1506101 1772373 2017607 2043309 2363164 2724412 3012202 3544746 4035214 4086618 4518303 4726328 5448824 6024404 6052821 7089492 8070428 8173236 9036606 12048808 12105642 14178984 16140856 16346472 18073212 24211284 36146424 48422568 106933171 213866342 320799513 427732684 641599026 855465368 1283198052 2566396104