Search a number
-
+
61382770176 = 2937134110711
BaseRepresentation
bin111001001010101100…
…101011111000000000
312212102212111210211110
4321022230223320000
52001202442121201
644110541443320
74302056636430
oct711254537000
9185385453743
1061382770176
1124039a78832
12ba90b70540
135a330853b0
142d8439c2c0
1518e3d426d6
hexe4ab2be00

61382770176 has 320 divisors, whose sum is σ = 206192802816. Its totient is φ = 15792537600.

The previous prime is 61382770171. The next prime is 61382770199. The reversal of 61382770176 is 67107728316.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61382770171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5725461 + ... + 5736171.

Almost surely, 261382770176 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 61382770176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103096401408).

61382770176 is an abundant number, since it is smaller than the sum of its proper divisors (144810032640).

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

61382770176 is a wasteful number, since it uses less digits than its factorization.

61382770176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10793 (or 10777 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 61382770176 in words is "sixty-one billion, three hundred eighty-two million, seven hundred seventy thousand, one hundred seventy-six".