Search a number
-
+
912051740106 = 23513834793631
BaseRepresentation
bin11010100010110101000…
…01010001110111001010
310020012011110020220200000
431101122201101313022
5104420340221140411
61534554002023430
7122615330610033
oct15213241216712
93205143226600
10912051740106
11321887480591
12128918347b76
1368010568080
1432201c31a8a
1518ad05bc956
hexd45a851dca

912051740106 has 192 divisors, whose sum is σ = 2238808965120. Its totient is φ = 276595197120.

The previous prime is 912051740077. The next prime is 912051740107. The reversal of 912051740106 is 601047150219.

912051740106 is a `hidden beast` number, since 9 + 120 + 517 + 4 + 0 + 10 + 6 = 666.

It is a super-3 number, since 3×9120517401063 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (912051740107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251182911 + ... + 251186541.

It is an arithmetic number, because the mean of its divisors is an integer number (11660463360).

Almost surely, 2912051740106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 912051740106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119404482560).

912051740106 is an abundant number, since it is smaller than the sum of its proper divisors (1326757225014).

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

912051740106 is a wasteful number, since it uses less digits than its factorization.

912051740106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 912051740106 in words is "nine hundred twelve billion, fifty-one million, seven hundred forty thousand, one hundred six".