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52057465560 = 2334552130839
BaseRepresentation
bin110000011110110111…
…011110001011011000
311222100222022020210000
4300132313132023120
51323103202344220
635525340053000
73522014104422
oct603667361330
9158328266700
1052057465560
112009409a411
12a109b34160
134ba80b7579
14273baa7812
15154a309390
hexc1edde2d8

52057465560 has 160 divisors (see below), whose sum is σ = 175312447200. Its totient is φ = 13854896640.

The previous prime is 52057465531. The next prime is 52057465601. The reversal of 52057465560 is 6556475025.

52057465560 is a `hidden beast` number, since 5 + 2 + 0 + 57 + 46 + 556 + 0 = 666.

It is a super-2 number, since 2×520574655602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1672621 + ... + 1703459.

It is an arithmetic number, because the mean of its divisors is an integer number (1095702795).

Almost surely, 252057465560 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 52057465560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87656223600).

52057465560 is an abundant number, since it is smaller than the sum of its proper divisors (123254981640).

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

52057465560 is a wasteful number, since it uses less digits than its factorization.

52057465560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31383 (or 31370 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 52057465560 in words is "fifty-two billion, fifty-seven million, four hundred sixty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 521 540 648 810 1042 1080 1563 1620 2084 2605 3126 3240 4168 4689 5210 6252 7815 9378 10420 12504 14067 15630 18756 20840 23445 28134 30839 31260 37512 42201 46890 56268 61678 62520 70335 84402 92517 93780 112536 123356 140670 154195 168804 185034 187560 211005 246712 277551 281340 308390 337608 370068 422010 462585 555102 562680 616780 740136 832653 844020 925170 1110204 1233560 1387755 1665306 1688040 1850340 2220408 2497959 2775510 3330612 3700680 4163265 4995918 5551020 6661224 8326530 9991836 11102040 12489795 16067119 16653060 19983672 24979590 32134238 33306120 48201357 49959180 64268476 80335595 96402714 99918360 128536952 144604071 160671190 192805428 241006785 289208142 321342380 385610856 433812213 482013570 578416284 642684760 723020355 867624426 964027140 1156832568 1301436639 1446040710 1735248852 1928054280 2169061065 2602873278 2892081420 3470497704 4338122130 5205746556 5784162840 6507183195 8676244260 10411493112 13014366390 17352488520 26028732780 52057465560