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42502214500 = 2253379292473
BaseRepresentation
bin100111100101010101…
…000101001101100100
311001201001102012111121
4213211111011031210
51144021031331000
631305241543324
73033146601544
oct474525051544
9131631365447
1042502214500
1117030434909
1282a1aa4b44
1340145a8965
1420b2a37324
15118b4edb1a
hex9e5545364

42502214500 has 96 divisors (see below), whose sum is σ = 95474826720. Its totient is φ = 16516915200.

The previous prime is 42502214449. The next prime is 42502214501. The reversal of 42502214500 is 541220524.

It can be written as a sum of positive squares in 16 ways, for example, as 28742455296 + 13759759204 = 169536^2 + 117302^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42502214501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17185264 + ... + 17187736.

It is an arithmetic number, because the mean of its divisors is an integer number (994529445).

Almost surely, 242502214500 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 42502214500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47737413360).

42502214500 is an abundant number, since it is smaller than the sum of its proper divisors (52972612220).

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

42502214500 is a wasteful number, since it uses less digits than its factorization.

42502214500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 42502214500 in words is "forty-two billion, five hundred two million, two hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 125 148 185 250 370 500 740 925 929 1850 1858 2473 3700 3716 4625 4645 4946 9250 9290 9892 12365 18500 18580 23225 24730 34373 46450 49460 61825 68746 91501 92900 116125 123650 137492 171865 183002 232250 247300 309125 343730 366004 457505 464500 618250 687460 859325 915010 1236500 1718650 1830020 2287525 2297417 3437300 4296625 4575050 4594834 8593250 9150100 9189668 11437625 11487085 17186500 22875250 22974170 45750500 45948340 57435425 85004429 114870850 170008858 229741700 287177125 340017716 425022145 574354250 850044290 1148708500 1700088580 2125110725 4250221450 8500442900 10625553625 21251107250 42502214500