Search a number
-
+
61561054632 = 233711316131753
BaseRepresentation
bin111001010101010100…
…110010010110101000
312212220021222121010110
4321111110302112220
52002034112222012
644140351014320
74306353221250
oct712524622650
9185807877113
1061561054632
1124120679560
12bb2080a3a0
135a60ca845c
142d9dd2a960
15190480c73c
hexe555325a8

61561054632 has 256 divisors, whose sum is σ = 198504529920. Its totient is φ = 15440025600.

The previous prime is 61561054609. The next prime is 61561054661. The reversal of 61561054632 is 23645016516.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35116668 + ... + 35118420.

It is an arithmetic number, because the mean of its divisors is an integer number (775408320).

Almost surely, 261561054632 is an apocalyptic number.

61561054632 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61561054632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99252264960).

61561054632 is an abundant number, since it is smaller than the sum of its proper divisors (136943475288).

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

61561054632 is a wasteful number, since it uses less digits than its factorization.

61561054632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 61561054632 in words is "sixty-one billion, five hundred sixty-one million, fifty-four thousand, six hundred thirty-two".