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133426700288 = 213711711987
BaseRepresentation
bin111110001000011011…
…0011110000000000000
3110202101201212122201022
41330100312132000000
54141224213402123
6141143445125012
712432303145130
oct1742066360000
9422351778638
10133426700288
1151649991842
1221a383b9768
13c774ab873b
14665a626ac0
15370dae21c8
hex1f10d9e000

133426700288 has 112 divisors (see below), whose sum is σ = 305370731904. Its totient is φ = 57105285120.

The previous prime is 133426700273. The next prime is 133426700299. The reversal of 133426700288 is 882007624331.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×1334267002883 (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67148831 + ... + 67150817.

It is an arithmetic number, because the mean of its divisors is an integer number (2726524392).

Almost surely, 2133426700288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133426700288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152685365952).

133426700288 is an abundant number, since it is smaller than the sum of its proper divisors (171944031616).

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

133426700288 is an equidigital number, since it uses as much as digits as its factorization.

133426700288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 133426700288 in words is "one hundred thirty-three billion, four hundred twenty-six million, seven hundred thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1171 1792 1987 2048 2342 3584 3974 4096 4684 7168 7948 8192 8197 9368 13909 14336 15896 16394 18736 27818 28672 31792 32788 37472 55636 57344 63584 65576 74944 111272 127168 131152 149888 222544 254336 262304 299776 445088 508672 524608 599552 890176 1017344 1049216 1199104 1780352 2034688 2098432 2326777 2398208 3560704 4069376 4196864 4653554 4796416 7121408 8138752 8393728 9307108 9592832 14242816 16277504 16287439 16787456 18614216 28485632 32574878 33574912 37228432 56971264 65149756 67149824 74456864 113942528 130299512 148913728 260599024 297827456 521198048 595654912 1042396096 1191309824 2084792192 2382619648 4169584384 4765239296 8339168768 9530478592 16678337536 19060957184 33356675072 66713350144 133426700288