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242972036892 = 2232132322799439
BaseRepresentation
bin1110001001001001000…
…0110000111100011100
3212020011010202100011100
43202102100300330130
512440101320140032
6303341513553100
723361034144254
oct3422220607434
9766133670140
10242972036892
1194053420582
123b10aa15790
1319bb2045140
14ba8d296964
1564c0d2997c
hex3892430f1c

242972036892 has 144 divisors (see below), whose sum is σ = 693228856320. Its totient is φ = 71194425984.

The previous prime is 242972036873. The next prime is 242972036911. The reversal of 242972036892 is 298630279242.

242972036892 is a `hidden beast` number, since 2 + 4 + 297 + 203 + 68 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (242972036873) and next prime (242972036911).

It is a super-2 number, since 2×2429720368922 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2393709 + ... + 2493147.

It is an arithmetic number, because the mean of its divisors is an integer number (4814089280).

Almost surely, 2242972036892 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 242972036892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346614428160).

242972036892 is an abundant number, since it is smaller than the sum of its proper divisors (450256819428).

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

242972036892 is a wasteful number, since it uses less digits than its factorization.

242972036892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99712 (or 99707 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 242972036892 in words is "two hundred forty-two billion, nine hundred seventy-two million, thirty-six thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 227 234 276 299 414 454 468 598 681 828 897 908 1196 1362 1794 2043 2691 2724 2951 3588 4086 5221 5382 5902 8172 8853 10442 10764 11804 15663 17706 20884 26559 31326 35412 46989 53118 62652 67873 93978 99439 106236 135746 187956 198878 203619 271492 298317 397756 407238 596634 610857 814476 894951 1193268 1221714 1292707 1789902 2287097 2443428 2585414 3579804 3878121 4574194 5170828 6861291 7756242 9148388 11634363 13722582 15512484 20583873 22572653 23268726 27445164 29732261 41167746 45145306 46537452 59464522 67717959 82335492 89196783 90290612 118929044 135435918 178393566 203153877 267590349 270871836 293444489 356787132 406307754 519171019 535180698 586888978 812615508 880333467 1038342038 1070361396 1173777956 1557513057 1760666934 2076684076 2641000401 3115026114 3521333868 4672539171 5282000802 6230052228 6749223247 9345078342 10564001604 13498446494 18690156684 20247669741 26996892988 40495339482 60743009223 80990678964 121486018446 242972036892