Search a number
-
+
235173074532 = 2231123359321559
BaseRepresentation
bin1101101100000101101…
…0000101011001100100
3211111000121122000001120
43123001122011121210
512323113301341112
6300011555053540
722663544102544
oct3330132053144
9744017560046
10235173074532
1190811084740
12396b2ba12b0
131923b360706
14b54d5a1324
1561b62e0e8c
hex36c1685664

235173074532 has 96 divisors (see below), whose sum is σ = 624852264960. Its totient is φ = 68143975680.

The previous prime is 235173074489. The next prime is 235173074551. The reversal of 235173074532 is 235470371532.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10897569 + ... + 10919127.

It is an arithmetic number, because the mean of its divisors is an integer number (6508877760).

Almost surely, 2235173074532 is an apocalyptic number.

235173074532 is a gapful number since it is divisible by the number (22) 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 235173074532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312426132480).

235173074532 is an abundant number, since it is smaller than the sum of its proper divisors (389679190428).

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

235173074532 is a wasteful number, since it uses less digits than its factorization.

235173074532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25193 (or 25191 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 42.

The spelling of 235173074532 in words is "two hundred thirty-five billion, one hundred seventy-three million, seventy-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 3593 7186 10779 14372 21558 21559 39523 43116 43118 64677 79046 82639 86236 118569 129354 158092 165278 237138 237149 247917 258708 330556 474276 474298 495834 495857 711447 909029 948596 991668 991714 1422894 1487571 1818058 1983428 2727087 2845788 2975142 3636116 5454174 5454427 5950284 10908348 10908854 16363281 21817708 32726562 65453124 77461487 154922974 232384461 309845948 464768922 852076357 929537844 1704152714 1781614201 2556229071 3408305428 3563228402 5112458142 5344842603 7126456804 10224916284 10689685206 19597756211 21379370412 39195512422 58793268633 78391024844 117586537266 235173074532