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42522005500 = 22531324191201
BaseRepresentation
bin100111100110100000…
…100100111111111100
311001202102122200122121
4213212200210333330
51144041113134000
631311230052324
73033510040342
oct474640447774
9131672580577
1042522005500
1117040622107
1282a864a0a4
134018717c00
1420b5509992
15118d10cb1a
hex9e6824ffc

42522005500 has 144 divisors (see below), whose sum is σ = 100885206240. Its totient is φ = 15649920000.

The previous prime is 42522005431. The next prime is 42522005509. The reversal of 42522005500 is 550022524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42522005509) 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, 35404900 + ... + 35406100.

It is an arithmetic number, because the mean of its divisors is an integer number (700591710).

Almost surely, 242522005500 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 42522005500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50442603120).

42522005500 is an abundant number, since it is smaller than the sum of its proper divisors (58363200740).

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

42522005500 is a wasteful number, since it uses less digits than its factorization.

42522005500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The spelling of 42522005500 in words is "forty-two billion, five hundred twenty-two million, five thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 169 250 260 325 338 419 500 650 676 838 845 1201 1300 1625 1676 1690 2095 2402 3250 3380 4190 4225 4804 5447 6005 6500 8380 8450 10475 10894 12010 15613 16900 20950 21125 21788 24020 27235 30025 31226 41900 42250 52375 54470 60050 62452 70811 78065 84500 104750 108940 120100 136175 141622 150125 156130 202969 209500 272350 283244 300250 312260 354055 390325 405938 503219 544700 600500 680875 708110 780650 811876 1006438 1014845 1361750 1416220 1561300 1770275 1951625 2012876 2029690 2516095 2723500 3540550 3903250 4059380 5032190 5074225 6541847 7081100 7806500 8851375 10064380 10148450 12580475 13083694 17702750 20296900 25160950 25371125 26167388 32709235 35405500 50321900 50742250 62902375 65418470 85044011 101484500 125804750 130836940 163546175 170088022 251609500 327092350 340176044 425220055 654184700 817730875 850440110 1635461750 1700880220 2126100275 3270923500 4252200550 8504401100 10630501375 21261002750 42522005500