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133111366806 = 231167129723209
BaseRepresentation
bin111101111111000001…
…1100100010010010110
3110201120202112001111110
41323332003210102112
54140103002214211
6141052302315450
712421423643415
oct1737603442226
9421522461443
10133111366806
11514a7995060
122196a888b86
13c72467c592
14662a7c147c
1536e10a4ea6
hex1efe0e4496

133111366806 has 64 divisors (see below), whose sum is σ = 294999471360. Its totient is φ = 39702389760.

The previous prime is 133111366789. The next prime is 133111366807. The reversal of 133111366806 is 608663111331.

It is a happy number.

It is a super-2 number, since 2×1331113668062 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133111366807) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5723730 + ... + 5746938.

It is an arithmetic number, because the mean of its divisors is an integer number (4609366740).

Almost surely, 2133111366806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133111366806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147499735680).

133111366806 is an abundant number, since it is smaller than the sum of its proper divisors (161888104554).

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

133111366806 is a wasteful number, since it uses less digits than its factorization.

133111366806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24589.

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 133111366806 in words is "one hundred thirty-three billion, one hundred eleven million, three hundred sixty-six thousand, eight hundred six".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 402 737 1297 1474 2211 2594 3891 4422 7782 14267 23209 28534 42801 46418 69627 85602 86899 139254 173798 255299 260697 510598 521394 765897 955889 1531794 1555003 1911778 2867667 3110006 4665009 5735334 9330018 17105033 30102073 34210066 51315099 60204146 90306219 102630198 180612438 331122803 662245606 993368409 1986736818 2016838891 4033677782 6050516673 12101033346 22185227801 44370455602 66555683403 133111366806