Search a number
-
+
90623138852025 = 33521355191871249
BaseRepresentation
bin10100100110101111010111…
…111111111110110010111001
3102212212111011100202210201000
4110212233113333332302321
543334232142021231100
6520423410101515213
725042206601361643
oct2446572777766271
9385774140683630
1090623138852025
112696a06a38375a
12a1b7455a12b09
133b74957701a50
14185427d07b893
15a724b0cd5900
hex526bd7ffecb9

90623138852025 has 96 divisors (see below), whose sum is σ = 179316648000000. Its totient is φ = 44606360724480.

The previous prime is 90623138851963. The next prime is 90623138852027. The reversal of 90623138852025 is 52025883132609.

It is a happy number.

90623138852025 is a `hidden beast` number, since 9 + 0 + 6 + 2 + 3 + 13 + 88 + 520 + 25 = 666.

It is not a de Polignac number, because 90623138852025 - 217 = 90623138720953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90623138852027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47493601 + ... + 49364849.

It is an arithmetic number, because the mean of its divisors is an integer number (1867881750000).

Almost surely, 290623138852025 is an apocalyptic number.

It is an amenable number.

90623138852025 is a deficient number, since it is larger than the sum of its proper divisors (88693509147975).

90623138852025 is a wasteful number, since it uses less digits than its factorization.

90623138852025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876800 (or 1876789 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 90623138852025 in words is "ninety trillion, six hundred twenty-three billion, one hundred thirty-eight million, eight hundred fifty-two thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 117 135 195 225 325 351 585 675 975 1755 2925 5519 8775 16557 27595 49671 71747 82785 137975 149013 215241 248355 358735 413925 645723 745065 1076205 1241775 1793675 1871249 1937169 3228615 3725325 5381025 5613747 9356245 9685845 16143075 16841241 24326237 28068735 46781225 48429225 50523723 72978711 84206205 121631185 140343675 218936133 252618615 364893555 421031025 608155925 656808399 1094680665 1263093075 1824467775 3284041995 5473403325 10327423231 16420209975 30982269693 51637116155 92946809079 134256502003 154911348465 258185580775 278840427237 402769506009 464734045395 671282510015 774556742325 1208308518027 1394202136185 2013847530045 2323670226975 3356412550075 3624925554081 6041542590135 6971010680925 10069237650225 18124627770405 30207712950675 90623138852025