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264312624230520 = 233513748541331213
BaseRepresentation
bin111100000110010000010100…
…000100111011000001111000
31021122212001002020100122212020
4330012100110010323001320
5234120444223300334040
62334051313204114440
7106446646140503565
oct7406202404730170
91248761066318766
10264312624230520
1177244399842588
1225789683095a20
13b46375c029988
14493ab292ad86c
1520855a0733cd0
hexf0641413b078

264312624230520 has 128 divisors (see below), whose sum is σ = 798744606603840. Its totient is φ = 69967236648960.

The previous prime is 264312624230513. The next prime is 264312624230521. The reversal of 264312624230520 is 25032426213462.

It is a super-2 number, since 2×2643126242305202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264312624230521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 797848434 + ... + 798179646.

Almost surely, 2264312624230520 is an apocalyptic number.

264312624230520 is a gapful number since it is divisible by the number (20) 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 264312624230520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399372303301920).

264312624230520 is an abundant number, since it is smaller than the sum of its proper divisors (534431982373320).

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

264312624230520 is a wasteful number, since it uses less digits than its factorization.

264312624230520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379905 (or 379901 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 264312624230520 in words is "two hundred sixty-four trillion, three hundred twelve billion, six hundred twenty-four million, two hundred thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 4110 5480 8220 16440 48541 97082 145623 194164 242705 291246 331213 388328 485410 582492 662426 728115 970820 993639 1164984 1324852 1456230 1656065 1941640 1987278 2649704 2912460 3312130 3974556 4968195 5824920 6624260 6650117 7949112 9936390 13248520 13300234 19872780 19950351 26600468 33250585 39745560 39900702 45376181 53200936 66501170 79801404 90752362 99751755 133002340 136128543 159602808 181504724 199503510 226880905 266004680 272257086 363009448 399007020 453761810 544514172 680642715 798014040 907523620 1089028344 1361285430 1815047240 2722570860 5445141720 16077410233 32154820466 48232230699 64309640932 80387051165 96464461398 128619281864 160774102330 192928922796 241161153495 321548204660 385857845592 482322306990 643096409320 964644613980 1929289227960 2202605201921 4405210403842 6607815605763 8810420807684 11013026009605 13215631211526 17620841615368 22026052019210 26431262423052 33039078028815 44052104038420 52862524846104 66078156057630 88104208076840 132156312115260 264312624230520