Search a number
-
+
10861807773102 = 2311131723372693253
BaseRepresentation
bin1001111000001111011000…
…1100011010010110101110
31102110101020001121012001120
42132003312030122112232
52410424440242214402
635033502352321410
72200511502504456
oct236036614322656
942411201535046
1010861807773102
113508515359530
121275111543266
1360a3582441b0
14297a00084d66
1513c8195293bc
hex9e0f631a5ae

10861807773102 has 512 divisors, whose sum is σ = 29076302868480. Its totient is φ = 2650585006080.

The previous prime is 10861807773071. The next prime is 10861807773143. The reversal of 10861807773102 is 20137770816801.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3339010908 + ... + 3339014160.

It is an arithmetic number, because the mean of its divisors is an integer number (56789654040).

Almost surely, 210861807773102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10861807773102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14538151434240).

10861807773102 is an abundant number, since it is smaller than the sum of its proper divisors (18214495095378).

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

10861807773102 is a wasteful number, since it uses less digits than its factorization.

10861807773102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628.

The product of its (nonzero) digits is 790272, while the sum is 51.

The spelling of 10861807773102 in words is "ten trillion, eight hundred sixty-one billion, eight hundred seven million, seven hundred seventy-three thousand, one hundred two".