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42531053520 = 24352317344537
BaseRepresentation
bin100111100111000011…
…000101111111010000
311001210001200101012110
4213213003011333100
51144100422203040
631312152025320
73033646663404
oct474703057720
9131701611173
1042531053520
111704574200a
1282ab692240
13401a565377
1420b67c3104
15118dce8980
hex9e70c5fd0

42531053520 has 160 divisors (see below), whose sum is σ = 138377071872. Its totient is φ = 10785550336.

The previous prime is 42531053507. The next prime is 42531053597. The reversal of 42531053520 is 2535013524.

It is a super-2 number, since 2×425310535202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 932692 + ... + 977228.

Almost surely, 242531053520 is an apocalyptic number.

42531053520 is a gapful number since it is divisible by the number (40) 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 42531053520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69188535936).

42531053520 is an abundant number, since it is smaller than the sum of its proper divisors (95846018352).

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

42531053520 is a wasteful number, since it uses less digits than its factorization.

42531053520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44749 (or 44743 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 42531053520 in words is "forty-two billion, five hundred thirty-one million, fifty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 173 184 230 240 276 345 346 368 460 519 552 690 692 865 920 1038 1104 1380 1384 1730 1840 2076 2595 2760 2768 3460 3979 4152 5190 5520 6920 7958 8304 10380 11937 13840 15916 19895 20760 23874 31832 39790 41520 44537 47748 59685 63664 79580 89074 95496 119370 133611 159160 178148 190992 222685 238740 267222 318320 356296 445370 477480 534444 668055 712592 890740 954960 1024351 1068888 1336110 1781480 2048702 2137776 2672220 3073053 3562960 4097404 5121755 5344440 6146106 7704901 8194808 10243510 10688880 12292212 15365265 15409802 16389616 20487020 23114703 24584424 30730530 30819604 38524505 40974040 46229406 49168848 61461060 61639208 77049010 81948080 92458812 115573515 122922120 123278416 154098020 177212723 184917624 231147030 245844240 308196040 354425446 369835248 462294060 531638169 616392080 708850892 886063615 924588120 1063276338 1417701784 1772127230 1849176240 2126552676 2658190845 2835403568 3544254460 4253105352 5316381690 7088508920 8506210704 10632763380 14177017840 21265526760 42531053520