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264137826414 = 237211394720693
BaseRepresentation
bin1111010111111111010…
…1110110000001101110
3221020210012220211222210
43311333311312001232
513311423240421124
6321202050151250
725040403323400
oct3657765660156
9836705824883
10264137826414
11a2024a0a510
1243237282526
131bba60c6957
14cada324b70
156d0e0c4a29
hex3d7fd7606e

264137826414 has 96 divisors (see below), whose sum is σ = 670592877696. Its totient is φ = 68586530880.

The previous prime is 264137826373. The next prime is 264137826427. The reversal of 264137826414 is 414628731462.

It is a congruent number.

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, 12754252 + ... + 12774944.

It is an arithmetic number, because the mean of its divisors is an integer number (6985342476).

Almost surely, 2264137826414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264137826414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335296438848).

264137826414 is an abundant number, since it is smaller than the sum of its proper divisors (406455051282).

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

264137826414 is a wasteful number, since it uses less digits than its factorization.

264137826414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24670 (or 24663 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The spelling of 264137826414 in words is "two hundred sixty-four billion, one hundred thirty-seven million, eight hundred twenty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 3234 3947 7894 11841 20693 23682 27629 41386 43417 55258 62079 82887 86834 124158 130251 144851 165774 193403 227623 260502 289702 303919 386806 434553 455246 580209 607838 682869 869106 911757 1013957 1160418 1365738 1593361 1823514 2027914 2127433 3041871 3186722 4254866 4780083 6083742 6382299 9560166 11153527 12764598 22307054 33460581 66921162 81675271 163350542 245025813 490051626 571726897 898427981 1143453794 1715180691 1796855962 2695283943 3430361382 4002088279 5390567886 6288995867 8004176558 12006264837 12577991734 18866987601 24012529674 37733975202 44022971069 88045942138 132068913207 264137826414