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52377382460 = 22513219823991
BaseRepresentation
bin110000110001111011…
…110110111000111100
312000012021021201021002
4300301323312320330
51324232102214320
640021205025432
73532650255644
oct606173667074
9160167251232
1052377382460
1120238737747
12a1990b5278
134c29469a00
14276c383524
15156844e675
hexc31ef6e3c

52377382460 has 144 divisors (see below), whose sum is σ = 125651957760. Its totient is φ = 18280753920.

The previous prime is 52377382367. The next prime is 52377382469. The reversal of 52377382460 is 6428377325.

It is a super-2 number, since 2×523773824602 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52377382469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52852565 + ... + 52853555.

It is an arithmetic number, because the mean of its divisors is an integer number (872583040).

Almost surely, 252377382460 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 52377382460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62825978880).

52377382460 is an abundant number, since it is smaller than the sum of its proper divisors (73274575300).

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

52377382460 is a wasteful number, since it uses less digits than its factorization.

52377382460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 47.

The spelling of 52377382460 in words is "fifty-two billion, three hundred seventy-seven million, three hundred eighty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 169 190 247 260 338 380 494 676 823 845 988 991 1235 1646 1690 1982 2470 3211 3292 3380 3964 4115 4940 4955 6422 8230 9910 10699 12844 12883 15637 16055 16460 18829 19820 21398 25766 31274 32110 37658 42796 51532 53495 62548 64220 64415 75316 78185 94145 106990 128830 139087 156370 167479 188290 203281 213980 244777 257660 278174 312740 334958 376580 406562 489554 556348 669916 695435 813124 815593 837395 979108 1016405 1223885 1390870 1631186 1674790 2032810 2447770 2642653 2781740 3182101 3262372 3349580 4065620 4077965 4895540 5285306 6364202 8155930 10570612 10602709 12728404 13213265 15496267 15910505 16311860 21205418 26426530 30992534 31821010 42410836 52853060 53013545 61985068 63642020 77481335 106027090 137835217 154962670 201451471 212054180 275670434 309925340 402902942 551340868 689176085 805805884 1007257355 1378352170 2014514710 2618869123 2756704340 4029029420 5237738246 10475476492 13094345615 26188691230 52377382460