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42223542525 = 32522937174893
BaseRepresentation
bin100111010100101110…
…000010000011111101
311000222122001012102100
4213110232002003331
51142433211330100
631221445015313
73023224122033
oct472456020375
9130878035370
1042223542525
11169a80a849a
1282246b4539
133c9b9378b8
142087a16553
151171d04400
hex9d4b820fd

42223542525 has 72 divisors (see below), whose sum is σ = 80349801480. Its totient is φ = 21154936320.

The previous prime is 42223542523. The next prime is 42223542533. The reversal of 42223542525 is 52524532224.

42223542525 is a `hidden beast` number, since 4 + 2 + 223 + 5 + 425 + 2 + 5 = 666.

42223542525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 187881849 + 42035660676 = 13707^2 + 205026^2 .

It is not a de Polignac number, because 42223542525 - 21 = 42223542523 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42223542525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42223542523) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 153979 + ... + 328871.

It is an arithmetic number, because the mean of its divisors is an integer number (1115969465).

Almost surely, 242223542525 is an apocalyptic number.

42223542525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42223542525 is a deficient number, since it is larger than the sum of its proper divisors (38126258955).

42223542525 is a wasteful number, since it uses less digits than its factorization.

42223542525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174975 (or 174967 counting only the distinct ones).

The product of its digits is 192000, while the sum is 36.

The spelling of 42223542525 in words is "forty-two billion, two hundred twenty-three million, five hundred forty-two thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 37 45 75 87 111 145 185 225 261 333 435 555 725 925 1073 1305 1665 2175 2775 3219 5365 6525 8325 9657 16095 26825 48285 80475 174893 241425 524679 874465 1574037 2623395 4372325 5071897 6471041 7870185 13116975 15215691 19413123 25359485 32355205 39350925 45647073 58239369 76078455 97065615 126797425 161776025 187660189 228235365 291196845 380392275 485328075 562980567 938300945 1141176825 1455984225 1688941701 2814902835 4691504725 8444708505 14074514175 42223542525