Search a number
-
+
520712102025234 = 233719724172893097
BaseRepresentation
bin111011001100101011011101…
…1110111110001100000010010
32112021200120221200122010111000
41312121112323313301200102
51021222321341104301414
65043243500505402430
7214452131210355450
oct16631267367614022
92467616850563430
10520712102025234
11140a07842725149
124a4995b1499416
1319471c2c44b722
149282858d979d0
15402edb4011b09
hex1d995bbdf1812

520712102025234 has 128 divisors (see below), whose sum is σ = 1329706724037120. Its totient is φ = 147958391605248.

The previous prime is 520712102025233. The next prime is 520712102025251. The reversal of 520712102025234 is 432520201217025.

520712102025234 is a `hidden beast` number, since 5 + 2 + 0 + 7 + 1 + 210 + 202 + 5 + 234 = 666.

It is a super-2 number, since 2×5207121020252342 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (520712102025233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178537774 + ... + 181430870.

It is an arithmetic number, because the mean of its divisors is an integer number (10388333781540).

Almost surely, 2520712102025234 is an apocalyptic number.

520712102025234 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 520712102025234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664853362018560).

520712102025234 is an abundant number, since it is smaller than the sum of its proper divisors (808994622011886).

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

520712102025234 is a wasteful number, since it uses less digits than its factorization.

520712102025234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895729 (or 2895723 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 520712102025234 in words is "five hundred twenty trillion, seven hundred twelve billion, one hundred two million, twenty-five thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 197 378 394 591 1182 1379 1773 2417 2758 3546 4137 4834 5319 7251 8274 10638 12411 14502 16919 21753 24822 33838 37233 43506 50757 65259 74466 101514 130518 152271 304542 456813 476149 913626 952298 1428447 2856894 2893097 3333043 4285341 5786194 6666086 8570682 8679291 9999129 12856023 17358582 19998258 20251679 25712046 26037873 29997387 40503358 52075746 59994774 60755037 78113619 89992161 121510074 156227238 179984322 182265111 364530222 546795333 569940109 1093590666 1139880218 1709820327 3419640654 3989580763 5129460981 6992615449 7979161526 10258921962 11968742289 13985230898 15388382943 20977846347 23937484578 30776765886 35906226867 41955692694 48948308143 62933539041 71812453734 97896616286 107718680601 125867078082 146844924429 188800617123 215437361202 293689848858 377601234246 440534773287 881069546574 1321604319861 1377545243453 2643208639722 2755090486906 4132635730359 8265271460718 9642816704171 12397907191077 19285633408342 24795814382154 28928450112513 37193721573231 57856900225026 74387443146462 86785350337539 173570700675078 260356051012617 520712102025234