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422541536328 = 2332766072
BaseRepresentation
bin1100010011000010111…
…00000010110001001000
31111101122122110001122200
412021201130002301020
523410331113130303
6522040215320200
742345654540552
oct6114134026110
91441578401580
10422541536328
1115322075526a
1269a84380060
1330acb729312
1416645c2c4d2
15aed08473a3
hex6261702c48

422541536328 has 36 divisors (see below), whose sum is σ = 1144398266115. Its totient is φ = 140845340208.

The previous prime is 422541536321. The next prime is 422541536363. The reversal of 422541536328 is 823635145224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

422541536328 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 4 + 1 + 5 + 3 + 632 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 211270768164 + 211270768164 = 459642^2 + 459642^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=459642.

It is not an unprimeable number, because it can be changed into a prime (422541536321) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5477401 + ... + 5554007.

Almost surely, 2422541536328 is an apocalyptic number.

It is an amenable number.

422541536328 is an abundant number, since it is smaller than the sum of its proper divisors (721856729787).

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

422541536328 is an frugal number, since it uses more digits than its factorization.

422541536328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153226 (or 76612 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 422541536328 in words is "four hundred twenty-two billion, five hundred forty-one million, five hundred thirty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 76607 153214 229821 306428 459642 612856 689463 919284 1378926 1838568 2757852 5515704 5868632449 11737264898 17605897347 23474529796 35211794694 46949059592 52817692041 70423589388 105635384082 140847178776 211270768164 422541536328