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61005051127 = 821100973643
BaseRepresentation
bin111000110100001011…
…110011010011110111
312211110112202200201001
4320310023303103313
51444414243114002
644005245544131
74256522243626
oct706413632367
9184415680631
1061005051127
1123965840929
12b9a6575047
1359a2a454b7
142d4a1576bd
1518c0ad0a87
hexe342f34f7

61005051127 has 8 divisors (see below), whose sum is σ = 61140721680. Its totient is φ = 60869531520.

The previous prime is 61005051113. The next prime is 61005051131. The reversal of 61005051127 is 72115050016.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61005051127 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61005051095 and 61005051104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61005051197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 791568 + ... + 865210.

It is an arithmetic number, because the mean of its divisors is an integer number (7642590210).

Almost surely, 261005051127 is an apocalyptic number.

61005051127 is a deficient number, since it is larger than the sum of its proper divisors (135670553).

61005051127 is a wasteful number, since it uses less digits than its factorization.

61005051127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75473.

The product of its (nonzero) digits is 2100, while the sum is 28.

The spelling of 61005051127 in words is "sixty-one billion, five million, fifty-one thousand, one hundred twenty-seven".

Divisors: 1 821 1009 73643 828389 60460903 74305787 61005051127