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61657572772271 = 722354709470073
BaseRepresentation
bin11100000010011110001011…
…01110010000100110101111
322002022101222020222212012102
432001033011232100212233
531040144202112203041
6335045033051325315
715662420063142500
oct1601170556204657
9262271866885172
1061657572772271
1118711914469523
126ab979845083b
132853390401888
1411323573aaba7
1571dcc578609b
hex3813c5b909af

61657572772271 has 12 divisors (see below), whose sum is σ = 74842555061232. Its totient is φ = 50551550346528.

The previous prime is 61657572772219. The next prime is 61657572772283. The reversal of 61657572772271 is 17227727575616.

61657572772271 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61657572772271 - 26 = 61657572772207 is a prime.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 61657572772198 and 61657572772207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61657572772291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27354733910 + ... + 27354736163.

It is an arithmetic number, because the mean of its divisors is an integer number (6236879588436).

Almost surely, 261657572772271 is an apocalyptic number.

61657572772271 is a deficient number, since it is larger than the sum of its proper divisors (13184982288961).

61657572772271 is a wasteful number, since it uses less digits than its factorization.

61657572772271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54709470110 (or 54709470103 counting only the distinct ones).

The product of its digits is 121010400, while the sum is 65.

The spelling of 61657572772271 in words is "sixty-one trillion, six hundred fifty-seven billion, five hundred seventy-two million, seven hundred seventy-two thousand, two hundred seventy-one".

Divisors: 1 7 23 49 161 1127 54709470073 382966290511 1258317811679 2680764033577 8808224681753 61657572772271