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84801942126 = 232112348738237
BaseRepresentation
bin100111011111010010…
…1101111001001101110
322002212222211000020100
41032332211233021232
52342133244122001
6102542451531530
76061320420606
oct1167645571156
9262788730210
1084801942126
1132a675382a0
1214527bb9ba6
137cc5c393a5
144166801c06
152314d51586
hex13be96f26e

84801942126 has 96 divisors (see below), whose sum is σ = 209590737408. Its totient is φ = 24529158720.

The previous prime is 84801942119. The next prime is 84801942139. The reversal of 84801942126 is 62124910848.

84801942126 is a `hidden beast` number, since 8 + 480 + 1 + 9 + 42 + 126 = 666.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 2198680 + ... + 2236916.

It is an arithmetic number, because the mean of its divisors is an integer number (2183236848).

Almost surely, 284801942126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84801942126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104795368704).

84801942126 is an abundant number, since it is smaller than the sum of its proper divisors (124788795282).

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

84801942126 is a wasteful number, since it uses less digits than its factorization.

84801942126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38766 (or 38763 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 84801942126 in words is "eighty-four billion, eight hundred one million, nine hundred forty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 487 506 759 974 1461 1518 2277 2922 4383 4554 5357 8766 10714 11201 16071 22402 32142 33603 38237 48213 67206 76474 96426 100809 114711 123211 201618 229422 246422 344133 369633 420607 688266 739266 841214 879451 1108899 1261821 1758902 2217798 2523642 2638353 3785463 5276706 7570926 7915059 9673961 15830118 18621419 19347922 29021883 37242838 55864257 58043766 87065649 111728514 167592771 174131298 204835609 335185542 409671218 428292637 614506827 856585274 1229013654 1284877911 1843520481 2569755822 3687040962 3854633733 4711219007 7709267466 9422438014 14133657021 28267314042 42400971063 84801942126