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422193255696 = 2434180492
BaseRepresentation
bin1100010010011001010…
…11011101010100010000
31111100202101002120110000
412021030223131110100
523404122433140241
6521541454410000
742334225314252
oct6111453352420
91440671076400
10422193255696
111530620a4933
12699a7800900
1330a745258c4
141661188bcd2
15aeaee9ceb6
hex624cadd510

422193255696 has 75 divisors (see below), whose sum is σ = 1222017475701. Its totient is φ = 140723288064.

The previous prime is 422193255637. The next prime is 422193255709. The reversal of 422193255696 is 696552391224.

The square root of 422193255696 is 649764.

It is a perfect power (a square), and thus also a powerful number.

422193255696 is a `hidden beast` number, since 4 + 221 + 9 + 325 + 5 + 6 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 365739495696 + 56453760000 = 604764^2 + 237600^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 23382480 + ... + 23400528.

Almost surely, 2422193255696 is an apocalyptic number.

422193255696 is the 649764-th square number.

It is an amenable number.

422193255696 is an abundant number, since it is smaller than the sum of its proper divisors (799824220005).

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

422193255696 is an frugal number, since it uses more digits than its factorization.

422193255696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36118 (or 18054 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 422193255696 in words is "four hundred twenty-two billion, one hundred ninety-three million, two hundred fifty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 18049 36098 54147 72196 108294 144392 162441 216588 288784 324882 433176 487323 649764 866352 974646 1299528 1461969 1949292 2599056 2923938 3898584 5847876 7797168 11695752 23391504 325766401 651532802 977299203 1303065604 1954598406 2606131208 2931897609 3909196812 5212262416 5863795218 7818393624 8795692827 11727590436 15636787248 17591385654 23455180872 26387078481 35182771308 46910361744 52774156962 70365542616 105548313924 140731085232 211096627848 422193255696