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131435075046 = 23116739774869
BaseRepresentation
bin111101001101000100…
…1000001010111100110
3110120020221021121111110
41322122021001113212
54123134334400141
6140214101445450
712332040463422
oct1723211012746
9416227247443
10131435075046
1150817745270
1221581410886
13c5182b4272
14650bd0bb82
153643d35e16
hex1e9a2415e6

131435075046 has 64 divisors (see below), whose sum is σ = 291784561920. Its totient is φ = 39135000960.

The previous prime is 131435075027. The next prime is 131435075087. The reversal of 131435075046 is 640570534131.

It is a junction number, because it is equal to n+sod(n) for n = 131435074995 and 131435075013.

It is a congruent number.

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, 1718100 + ... + 1792968.

It is an arithmetic number, because the mean of its divisors is an integer number (4559133780).

Almost surely, 2131435075046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131435075046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145892280960).

131435075046 is an abundant number, since it is smaller than the sum of its proper divisors (160349486874).

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

131435075046 is a wasteful number, since it uses less digits than its factorization.

131435075046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75349.

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 131435075046 in words is "one hundred thirty-one billion, four hundred thirty-five million, seventy-five thousand, forty-six".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 397 402 737 794 1191 1474 2211 2382 4367 4422 8734 13101 26202 26599 53198 74869 79797 149738 159594 224607 292589 449214 585178 823559 877767 1647118 1755534 2470677 4941354 5016223 10032446 15048669 29722993 30097338 55178453 59445986 89168979 110356906 165535359 178337958 326952923 331070718 653905846 980858769 1961717538 1991440531 3982881062 5974321593 11948643186 21905845841 43811691682 65717537523 131435075046