Search a number
-
+
61497632256 = 29342195101
BaseRepresentation
bin111001010001100010…
…110110011000000000
312212201212122101222120
4321101202312120000
52001421343213011
644130203404240
74304653151334
oct712142663000
9185655571876
1061497632256
11240988a0375
12bb03523680
135a50b00818
142d9573b7c4
1518ede80a06
hexe518b6600

61497632256 has 80 divisors (see below), whose sum is σ = 164224416048. Its totient is φ = 20450304000.

The previous prime is 61497632221. The next prime is 61497632269. The reversal of 61497632256 is 65223679416.

It is a junction number, because it is equal to n+sod(n) for n = 61497632199 and 61497632208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 599106 + ... + 694206.

Almost surely, 261497632256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61497632256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82112208024).

61497632256 is an abundant number, since it is smaller than the sum of its proper divisors (102726783792).

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

61497632256 is an equidigital number, since it uses as much as digits as its factorization.

61497632256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95543 (or 95527 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 51.

The spelling of 61497632256 in words is "sixty-one billion, four hundred ninety-seven million, six hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 421 512 768 842 1263 1536 1684 2526 3368 5052 6736 10104 13472 20208 26944 40416 53888 80832 95101 107776 161664 190202 215552 285303 323328 380404 570606 646656 760808 1141212 1521616 2282424 3043232 4564848 6086464 9129696 12172928 18259392 24345856 36518784 40037521 48691712 73037568 80075042 120112563 146075136 160150084 240225126 320300168 480450252 640600336 960900504 1281200672 1921801008 2562401344 3843602016 5124802688 7687204032 10249605376 15374408064 20499210752 30748816128 61497632256