Search a number
-
+
133346800008 = 233219257379283
BaseRepresentation
bin111110000110000010…
…1101011000110001000
3110202012011112022010200
41330030011223012020
54141043240100013
6141131512412200
712430313045532
oct1741405530610
9422164468120
10133346800008
1151608879554
1221a156a7060
13c761391876
14664db88852
153706aace73
hex1f0c16b188

133346800008 has 96 divisors (see below), whose sum is σ = 381635560800. Its totient is φ = 41945554944.

The previous prime is 133346800007. The next prime is 133346800009. The reversal of 133346800008 is 800008643331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133346800007) and next prime (133346800009).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133346800007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161935 + ... + 541217.

It is an arithmetic number, because the mean of its divisors is an integer number (3975370425).

Almost surely, 2133346800008 is an apocalyptic number.

133346800008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133346800008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190817780400).

133346800008 is an abundant number, since it is smaller than the sum of its proper divisors (248288760792).

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

133346800008 is a wasteful number, since it uses less digits than its factorization.

133346800008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379571 (or 379564 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 133346800008 in words is "one hundred thirty-three billion, three hundred forty-six million, eight hundred thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 257 342 456 514 684 771 1028 1368 1542 2056 2313 3084 4626 4883 6168 9252 9766 14649 18504 19532 29298 39064 43947 58596 87894 117192 175788 351576 379283 758566 1137849 1517132 2275698 3034264 3413547 4551396 6827094 7206377 9102792 13654188 14412754 21619131 27308376 28825508 43238262 57651016 64857393 86476524 97475731 129714786 172953048 194951462 259429572 292427193 389902924 518859144 584854386 779805848 877281579 1169708772 1754563158 1852038889 2339417544 3509126316 3704077778 5556116667 7018252632 7408155556 11112233334 14816311112 16668350001 22224466668 33336700002 44448933336 66673400004 133346800008