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242664052725 = 325261123714293
BaseRepresentation
bin1110000111111111100…
…1111001011111110101
3212012100200020010022100
43201333321321133311
512433433444141400
6303251152452313
723350304262243
oct3417771713765
9765320203270
10242664052725
1193a05593506
123b04384a099
1319b632b01a3
14ba60405793
1564a3c90100
hex387fe797f5

242664052725 has 72 divisors (see below), whose sum is σ = 442151556392. Its totient is φ = 127187366400.

The previous prime is 242664052669. The next prime is 242664052777. The reversal of 242664052725 is 527250466242.

It is a happy number.

242664052725 is a `hidden beast` number, since 2 + 4 + 2 + 66 + 40 + 527 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 185870490129 + 56793562596 = 431127^2 + 238314^2 .

It is not a de Polignac number, because 242664052725 - 28 = 242664052469 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16970679 + ... + 16984971.

Almost surely, 2242664052725 is an apocalyptic number.

242664052725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242664052725 is a deficient number, since it is larger than the sum of its proper divisors (199487503667).

242664052725 is a wasteful number, since it uses less digits than its factorization.

242664052725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15607 (or 15599 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 242664052725 in words is "two hundred forty-two billion, six hundred sixty-four million, fifty-two thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 61 75 183 225 305 549 915 1237 1525 2745 3711 4575 6185 11133 13725 14293 18555 30925 42879 55665 71465 75457 92775 128637 214395 226371 278325 357325 377285 643185 679113 871873 1071975 1131855 1886425 2615619 3215925 3395565 4359365 5659275 7846857 13078095 16977825 17680441 21796825 39234285 53041323 65390475 88402205 159123969 196171425 265206615 442011025 795619845 1078506901 1326033075 3235520703 3978099225 5392534505 9706562109 16177603515 26962672525 48532810545 80888017575 242664052725