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25106352640 = 29515796211
BaseRepresentation
bin10111011000011101…
…001000101000000000
32101210201000212012121
4113120131020220000
5402404211241030
615311140134024
71546105322245
oct273035105000
971721025177
1025106352640
11a713977376
124a48097314
1324a1592685
14130254d5cc
159be1ce47a
hex5d8748a00

25106352640 has 80 divisors (see below), whose sum is σ = 60244224480. Its totient is φ = 10034565120.

The previous prime is 25106352637. The next prime is 25106352653. The reversal of 25106352640 is 4625360152.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 25106352596 and 25106352605.

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 7 ways as a sum of consecutive naturals, for example, 4039135 + ... + 4045345.

It is an arithmetic number, because the mean of its divisors is an integer number (753052806).

Almost surely, 225106352640 is an apocalyptic number.

25106352640 is a gapful number since it is divisible by the number (20) 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 25106352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30122112240).

25106352640 is an abundant number, since it is smaller than the sum of its proper divisors (35137871840).

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

25106352640 is an equidigital number, since it uses as much as digits as its factorization.

25106352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7813 (or 7797 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 25106352640 in words is "twenty-five billion, one hundred six million, three hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 1579 2560 3158 6211 6316 7895 12422 12632 15790 24844 25264 31055 31580 49688 50528 62110 63160 99376 101056 124220 126320 198752 202112 248440 252640 397504 404224 496880 505280 795008 808448 993760 1010560 1590016 1987520 2021120 3180032 3975040 4042240 7950080 9807169 15900160 19614338 39228676 49035845 78457352 98071690 156914704 196143380 313829408 392286760 627658816 784573520 1255317632 1569147040 2510635264 3138294080 5021270528 6276588160 12553176320 25106352640