Search a number
-
+
201852536140632 = 233132713701964489
BaseRepresentation
bin101101111001010101110100…
…101101101011001101011000
3222110200220200022012200120110
4231321111310231223031120
5202424122443223000012
61553145435220124320
760342236005562406
oct5571256455531530
9873626608180513
10201852536140632
11593531a8403a83
121a780459b366a0
1388827c6818220
1437bba018a0476
1518509aae5673c
hexb79574b6b358

201852536140632 has 128 divisors (see below), whose sum is σ = 545477675904000. Its totient is φ = 61876659041280.

The previous prime is 201852536140631. The next prime is 201852536140637. The reversal of 201852536140632 is 236041635258102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201852536140631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3129998244 + ... + 3130062732.

It is an arithmetic number, because the mean of its divisors is an integer number (4261544343000).

Almost surely, 2201852536140632 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 201852536140632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272738837952000).

201852536140632 is an abundant number, since it is smaller than the sum of its proper divisors (343625139763368).

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

201852536140632 is a wasteful number, since it uses less digits than its factorization.

201852536140632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101801 (or 101797 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 201852536140632 in words is "two hundred one trillion, eight hundred fifty-two billion, five hundred thirty-six million, one hundred forty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 271 312 542 813 1084 1626 2168 3252 3523 6504 7046 10569 14092 21138 28184 37019 42276 64489 74038 84552 111057 128978 148076 193467 222114 257956 296152 386934 444228 481247 515912 773868 838357 888456 962494 1443741 1547736 1676714 1924988 2515071 2887482 3353428 3849976 5030142 5774964 6706856 10032149 10060284 11549928 17476519 20064298 20120568 30096447 34953038 40128596 52429557 60192894 69906076 80257192 104859114 120385788 130417937 139812152 209718228 227194747 240771576 260835874 391253811 419436456 454389494 521671748 681584241 782507622 908778988 1043343496 1363168482 1565015244 1817557976 2387318291 2726336964 3130030488 4774636582 5452673928 7161954873 9549273164 14323909746 19098546328 28647819492 31035137783 57295638984 62070275566 93105413349 124140551132 186210826698 248281102264 372421653396 646963256861 744843306792 1293926513722 1940889770583 2587853027444 3881779541166 5175706054888 7763559082332 8410522339193 15527118164664 16821044678386 25231567017579 33642089356772 50463134035158 67284178713544 100926268070316 201852536140632