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202955339052 = 223217738951043
BaseRepresentation
bin1011110100000100010…
…1001011010100101100
3201101212022021110112100
42331001011023110230
511311123031322202
6233123021135100
720443264626564
oct2750105132454
9641768243470
10202955339052
1179088aa8174
12334013ba490
13161a56974cb
149b747bdda4
15542cb4541c
hex2f4114b52c

202955339052 has 144 divisors (see below), whose sum is σ = 556843079520. Its totient is φ = 62093205504.

The previous prime is 202955339047. The next prime is 202955339063. The reversal of 202955339052 is 250933559202.

202955339052 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 553 + 3 + 90 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 202955338989 and 202955339007.

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 47 ways as a sum of consecutive naturals, for example, 3950643 + ... + 4001685.

It is an arithmetic number, because the mean of its divisors is an integer number (3866965830).

Almost surely, 2202955339052 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 202955339052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278421539760).

202955339052 is an abundant number, since it is smaller than the sum of its proper divisors (353887740468).

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

202955339052 is a wasteful number, since it uses less digits than its factorization.

202955339052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51232 (or 51227 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 202955339052 in words is "two hundred two billion, nine hundred fifty-five million, three hundred thirty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 89 102 146 153 178 204 219 267 292 306 356 438 534 612 657 801 876 1068 1241 1314 1513 1602 2482 2628 3026 3204 3723 4539 4964 6052 6497 7446 9078 11169 12994 13617 14892 18156 19491 22338 25988 27234 38982 44676 51043 54468 58473 77964 102086 110449 116946 153129 204172 220898 233892 306258 331347 441796 459387 612516 662694 867731 918774 994041 1325388 1735462 1837548 1988082 2603193 3470924 3726139 3976164 4542827 5206386 7452278 7809579 9085654 10412772 11178417 13628481 14904556 15619158 18171308 22356834 27256962 31238316 33535251 40885443 44713668 54513924 63344363 67070502 77228059 81770886 126688726 134141004 154456118 163541772 190033089 231684177 253377452 308912236 331626371 380066178 463368354 570099267 663252742 695052531 760132356 926736708 994879113 1140198534 1326505484 1390105062 1989758226 2280397068 2780210124 2984637339 3979516452 5637648307 5969274678 11275296614 11938549356 16912944921 22550593228 33825889842 50738834763 67651779684 101477669526 202955339052