Search a number
-
+
533252042405104 = 2411591512511354931
BaseRepresentation
bin111100100111111010110101…
…0100100000011010011110000
32120221002101201200210110120111
41321033311222210003103300
51024343300140323430404
65130044334551551104
7220215121502035621
oct17117655244032360
92527071650713514
10533252042405104
11144a01a150a3a50
124b98399a08b494
1319b715b4895539
149597772487a48
15419b1991c2104
hex1e4fd6a9034f0

533252042405104 has 160 divisors (see below), whose sum is σ = 1158392718120960. Its totient is φ = 235757820000000.

The previous prime is 533252042405101. The next prime is 533252042405119. The reversal of 533252042405104 is 401504240252335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533252042405101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392886519 + ... + 394241449.

It is an arithmetic number, because the mean of its divisors is an integer number (7239954488256).

Almost surely, 2533252042405104 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 533252042405104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579196359060480).

533252042405104 is an abundant number, since it is smaller than the sum of its proper divisors (625140675715856).

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

533252042405104 is a wasteful number, since it uses less digits than its factorization.

533252042405104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355411 (or 1355405 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 533252042405104 its reverse (401504240252335), we get a palindrome (934756282657439).

The spelling of 533252042405104 in words is "five hundred thirty-three trillion, two hundred fifty-two billion, forty-two million, four hundred five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 59 88 118 151 176 236 251 302 472 502 604 649 944 1004 1208 1298 1661 2008 2416 2596 2761 3322 4016 5192 5522 6644 8909 10384 11044 13288 14809 17818 22088 26576 29618 35636 37901 44176 59236 71272 75802 97999 118472 142544 151604 162899 195998 236944 303208 325798 391996 416911 606416 651596 783992 833822 1303192 1354931 1567984 1667644 2236159 2606384 2709862 3335288 4472318 5419724 6670576 8944636 10839448 14904241 17889272 21678896 24597749 29808482 35778544 49195498 59616964 79940929 98390996 119233928 159881858 196781992 204594581 238467856 319763716 340087681 393563984 409189162 639527432 680175362 818378324 879350219 1279054864 1360350724 1636756648 1758700438 2250540391 2720701448 3273513296 3517400876 3740964491 4501080782 5441402896 7034801752 7481928982 9002161564 12071080279 14069603504 14963857964 18004323128 20065173179 24142160558 29927715928 36008646256 40130346358 48284321116 51353239831 59855431856 80260692716 96568642232 102706479662 132781883069 160521385432 193137284464 205412959324 220716904969 265563766138 321042770864 410825918648 441433809938 531127532276 564885638141 821651837296 882867619876 1062255064552 1129771276282 1765735239752 2124510129104 2259542552564 3029841150029 3531470479504 4519085105128 6059682300058 9038170210256 12119364600116 24238729200232 33328252650319 48477458400464 66656505300638 133313010601276 266626021202552 533252042405104