Search a number
-
+
133030345072 = 24177120833307
BaseRepresentation
bin111101111100100111…
…0011111100101110000
3110201101010001201120111
41323321032133211300
54134421232020242
6141040245551104
712416421163432
oct1737116374560
9421333051514
10133030345072
1151466186249
1221947715494
13c710952121
14661db30652
1536d8ded817
hex1ef939f970

133030345072 has 80 divisors (see below), whose sum is σ = 276968201472. Its totient is φ = 61672504320.

The previous prime is 133030345057. The next prime is 133030345073. The reversal of 133030345072 is 270543030331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133030345073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40225243 + ... + 40228549.

Almost surely, 2133030345072 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 133030345072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138484100736).

133030345072 is an abundant number, since it is smaller than the sum of its proper divisors (143937856400).

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

133030345072 is a wasteful number, since it uses less digits than its factorization.

133030345072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 5480 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 31.

The spelling of 133030345072 in words is "one hundred thirty-three billion, thirty million, three hundred forty-five thousand, seventy-two".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 272 284 568 1136 1207 2083 2414 3307 4166 4828 6614 8332 9656 13228 16664 19312 26456 33328 35411 52912 56219 70822 112438 141644 147893 224876 234797 283288 295786 449752 469594 566576 591572 899504 939188 1183144 1878376 2366288 2514181 3756752 3991549 5028362 6888481 7983098 10056724 13776962 15966196 20113448 27553924 31932392 40226896 55107848 63864784 110215696 117104177 234208354 468416708 489082151 936833416 978164302 1873666832 1956328604 3912657208 7825314416 8314396567 16628793134 33257586268 66515172536 133030345072