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334133501052 = 223132237990677
BaseRepresentation
bin1001101110010111110…
…10001001110001111100
31011221110100010112120210
410313023322021301330
520433301134013202
6413255424312420
733066065616561
oct4671372116174
91157410115523
10334133501052
111197837178aa
1254910772710
132567c688600
141225a532868
158a5912dc6c
hex4dcbe89c7c

334133501052 has 144 divisors (see below), whose sum is σ = 892097418240. Its totient is φ = 97094409984.

The previous prime is 334133501047. The next prime is 334133501063. The reversal of 334133501052 is 250105331433.

It is a super-2 number, since 2×3341335010522 (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, 3639538 + ... + 3730214.

It is an arithmetic number, because the mean of its divisors is an integer number (6195120960).

Almost surely, 2334133501052 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 334133501052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446048709120).

334133501052 is an abundant number, since it is smaller than the sum of its proper divisors (557963917188).

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

334133501052 is a wasteful number, since it uses less digits than its factorization.

334133501052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90812 (or 90797 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 334133501052 its reverse (250105331433), we get a palindrome (584238832485).

The spelling of 334133501052 in words is "three hundred thirty-four billion, one hundred thirty-three million, five hundred one thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 79 92 138 156 158 169 237 276 299 316 338 474 507 598 676 897 948 1014 1027 1196 1794 1817 2028 2054 3081 3588 3634 3887 4108 5451 6162 7268 7774 10902 11661 12324 13351 15548 21804 23322 23621 26702 40053 46644 47242 53404 70863 80106 90677 94484 141726 160212 181354 272031 283452 307073 362708 544062 614146 921219 1088124 1178801 1228292 1842438 2085571 2357602 3536403 3684876 4171142 4715204 6256713 7072806 7163483 8342284 12513426 14145612 14326966 15324413 21490449 25026852 27112423 28653932 30648826 42980898 45973239 54224846 61297652 81337269 85961796 91946478 93125279 108449692 162674538 164760109 183892956 186250558 279375837 325349076 329520218 352461499 372501116 494280327 558751674 659040436 704922998 988560654 1057384497 1117503348 1210628627 1409845996 1977121308 2114768994 2141881417 2421257254 3631885881 4229537988 4283762834 4842514508 6425644251 7263771762 8567525668 12851288502 14527543524 25702577004 27844458421 55688916842 83533375263 111377833684 167066750526 334133501052