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161005262040 = 233257193362683
BaseRepresentation
bin1001010111110010101…
…0010101010011011000
3120101120201210202021100
42111330222111103120
510114214321341130
6201544221311400
714426601101220
oct2257452252330
9511521722240
10161005262040
1162311300437
1227254405560
131224b5c9c2c
147b15231080
1542c4d5cc60
hex257ca954d8

161005262040 has 192 divisors, whose sum is σ = 629494444800. Its totient is φ = 34864286976.

The previous prime is 161005261987. The next prime is 161005262057. The reversal of 161005262040 is 40262500161.

161005262040 is a `hidden beast` number, since 1 + 610 + 0 + 5 + 2 + 6 + 2 + 0 + 40 = 666.

161005262040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 161005261995 and 161005262013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1633462 + ... + 1729221.

It is an arithmetic number, because the mean of its divisors is an integer number (3278616900).

Almost surely, 2161005262040 is an apocalyptic number.

161005262040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161005262040 is an abundant number, since it is smaller than the sum of its proper divisors (468489182760).

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

161005262040 is a wasteful number, since it uses less digits than its factorization.

161005262040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362726 (or 3362719 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 161005262040 in words is "one hundred sixty-one billion, five million, two hundred sixty-two thousand, forty".