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131097476848 = 241310716993467
BaseRepresentation
bin111101000011000000…
…1001011111011110000
3110112101102000211211111
41322012001023323300
54121441423224343
6140120401523104
712320501111212
oct1720601137360
9415342024744
10131097476848
1150664120798
12214a8343494
13c493380c10
1464b914c5b2
15362439bc9d
hex1e8604bef0

131097476848 has 80 divisors (see below), whose sum is σ = 276338563200. Its totient is φ = 59888487168.

The previous prime is 131097476803. The next prime is 131097476863. The reversal of 131097476848 is 848674790131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131097476792 and 131097476801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37811211 + ... + 37814677.

It is an arithmetic number, because the mean of its divisors is an integer number (3454232040).

Almost surely, 2131097476848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131097476848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138169281600).

131097476848 is an abundant number, since it is smaller than the sum of its proper divisors (145241086352).

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

131097476848 is a wasteful number, since it uses less digits than its factorization.

131097476848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5294 (or 5288 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 58.

The spelling of 131097476848 in words is "one hundred thirty-one billion, ninety-seven million, four hundred seventy-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 107 208 214 428 856 1391 1699 1712 2782 3398 3467 5564 6796 6934 11128 13592 13868 22087 22256 27184 27736 44174 45071 55472 88348 90142 176696 180284 181793 353392 360568 363586 370969 721136 727172 741938 1454344 1483876 2363309 2908688 2967752 4726618 4822597 5890433 5935504 9453236 9645194 11780866 18906472 19290388 23561732 37812944 38580776 47123464 76575629 77161552 94246928 153151258 306302516 612605032 630276331 1225210064 1260552662 2521105324 5042210648 8193592303 10084421296 16387184606 32774369212 65548738424 131097476848