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61792132335381 = 347509214107727
BaseRepresentation
bin11100000110011000110100…
…00110010000011100010101
322002210021021221112220120000
432003030122012100130111
531044400241334213011
6335230525210001513
716005222433434660
oct1603143206203425
9262707257486500
1061792132335381
1118763994870928
126b1b890116299
132862c85b06036
141138a802486d7
1572254da51356
hex38331a190715

61792132335381 has 40 divisors (see below), whose sum is σ = 105700703159040. Its totient is φ = 35240418837792.

The previous prime is 61792132335341. The next prime is 61792132335431. The reversal of 61792132335381 is 18353323129716.

It is a happy number.

61792132335381 is a `hidden beast` number, since 6 + 1 + 7 + 9 + 21 + 3 + 233 + 5 + 381 = 666.

It is not a de Polignac number, because 61792132335381 - 26 = 61792132335317 is a prime.

It is a super-2 number, since 2×617921323353812 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61792132335341) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 106765261 + ... + 107342466.

It is an arithmetic number, because the mean of its divisors is an integer number (2642517578976).

Almost surely, 261792132335381 is an apocalyptic number.

It is an amenable number.

61792132335381 is a deficient number, since it is larger than the sum of its proper divisors (43908570823659).

61792132335381 is a wasteful number, since it uses less digits than its factorization.

61792132335381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214108255 (or 214108246 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 61792132335381 in words is "sixty-one trillion, seven hundred ninety-two billion, one hundred thirty-two million, three hundred thirty-five thousand, three hundred eighty-one".

Divisors: 1 3 7 9 21 27 63 81 189 509 567 1527 3563 4581 10689 13743 32067 41229 96201 288603 214107727 642323181 1498754089 1926969543 4496262267 5780908629 13488786801 17342725887 40466360403 108980833043 121399081209 326942499129 762865831301 980827497387 2288597493903 2942482492161 6865792481709 8827447476483 20597377445127 61792132335381