Search a number
-
+
61916730624 = 28327193743127
BaseRepresentation
bin111001101010100001…
…100101010100000000
312220211002020210212100
4321222201211110000
52003301140334444
644235534230400
74321232345430
oct715241452400
9186732223770
1061916730624
1124293420161
12bbbb955400
135ab989b018
142dd52742c0
151925b67e69
hexe6a865500

61916730624 has 864 divisors, whose sum is σ = 227473326080. Its totient is φ = 15801827328.

The previous prime is 61916730613. The next prime is 61916730649. The reversal of 61916730624 is 42603761916.

61916730624 is a `hidden beast` number, since 6 + 1 + 9 + 16 + 7 + 3 + 0 + 624 = 666.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 61916730624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 487533249 + ... + 487533375.

Almost surely, 261916730624 is an apocalyptic number.

61916730624 is a gapful number since it is divisible by the number (64) 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 61916730624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113736663040).

61916730624 is an abundant number, since it is smaller than the sum of its proper divisors (165556595456).

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

61916730624 is a wasteful number, since it uses less digits than its factorization.

61916730624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 61916730624 in words is "sixty-one billion, nine hundred sixteen million, seven hundred thirty thousand, six hundred twenty-four".