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55661511042 = 2331759585997
BaseRepresentation
bin110011110101101011…
…110100000110000010
312022200010221201202000
4303311223310012002
51402443321323132
641323123204430
74010226015564
oct636553640602
9168603851660
1055661511042
11216735210a5
12a954b16716
135330982b67
1429a05cb334
1516ab91987c
hexcf5af4182

55661511042 has 32 divisors (see below), whose sum is σ = 123762777600. Its totient is φ = 18543257424.

The previous prime is 55661511029. The next prime is 55661511049. The reversal of 55661511042 is 24011516655.

55661511042 is a `hidden beast` number, since 5 + 566 + 1 + 51 + 1 + 0 + 42 = 666.

55661511042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×556615110422 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55661510988 and 55661511006.

It is not an unprimeable number, because it can be changed into a prime (55661511049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198013 + ... + 387984.

It is an arithmetic number, because the mean of its divisors is an integer number (3867586800).

Almost surely, 255661511042 is an apocalyptic number.

55661511042 is an abundant number, since it is smaller than the sum of its proper divisors (68101266558).

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

55661511042 is a wasteful number, since it uses less digits than its factorization.

55661511042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587767 (or 587761 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 55661511042 in words is "fifty-five billion, six hundred sixty-one million, five hundred eleven thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 1759 3518 5277 10554 15831 31662 47493 94986 585997 1171994 1757991 3515982 5273973 10547946 15821919 31643838 1030768723 2061537446 3092306169 6184612338 9276918507 18553837014 27830755521 55661511042