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5998668003306 = 23211173346150599
BaseRepresentation
bin101011101001010110001…
…1110011011011111101010
3210020110121111011002221100
41113102230132123133222
51241240233002101211
620431430001422230
71156250404504656
oct127225436333752
923213544132840
105998668003306
111a03025780640
1280a6b993a976
13346897401084
1416a4a0d3da66
15a608c077156
hex574ac79b7ea

5998668003306 has 96 divisors (see below), whose sum is σ = 14265029750400. Its totient is φ = 1806712905600.

The previous prime is 5998668003299. The next prime is 5998668003319. The reversal of 5998668003306 is 6033008668995.

5998668003306 is a `hidden beast` number, since 599 + 8 + 6 + 6 + 8 + 0 + 0 + 3 + 30 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118527795 + ... + 118578393.

It is an arithmetic number, because the mean of its divisors is an integer number (148594059900).

Almost surely, 25998668003306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5998668003306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132514875200).

5998668003306 is an abundant number, since it is smaller than the sum of its proper divisors (8266361747094).

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

5998668003306 is a wasteful number, since it uses less digits than its factorization.

5998668003306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54252 (or 54249 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 5998668003306 in words is "five trillion, nine hundred ninety-eight billion, six hundred sixty-eight million, three thousand, three hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 173 198 346 519 1038 1557 1903 3114 3461 3806 5709 6922 10383 11418 17127 20766 31149 34254 38071 50599 62298 76142 101198 114213 151797 228426 303594 342639 455391 556589 598753 685278 910782 1113178 1197506 1669767 1796259 3339534 3592518 5009301 5388777 6586283 8753627 10018602 10777554 13172566 17507254 19758849 26260881 39517698 52521762 59276547 78782643 96289897 118553094 157565286 175123139 192579794 288869691 350246278 525369417 577739382 866609073 1050738834 1576108251 1733218146 1926354529 3152216502 3852709058 5779063587 11558127174 17337190761 30296303047 34674381522 60592606094 90888909141 181777818282 272666727423 333259333517 545333454846 666518667034 999778000551 1999556001102 2999334001653 5998668003306