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49205252052 = 2232111911095897
BaseRepresentation
bin101101110100110111…
…001000111111010100
311201000012100210101200
4231310313020333110
51301233021031202
634334331152500
73361231512225
oct556467107724
9151005323350
1049205252052
111996009a170
1296528a5730
134842208578
14254ad7124c
15142ec08e1c
hexb74dc8fd4

49205252052 has 144 divisors (see below), whose sum is σ = 142981675200. Its totient is φ = 14110778880.

The previous prime is 49205252039. The next prime is 49205252203. The reversal of 49205252052 is 25025250294.

It is a happy number.

49205252052 is a `hidden beast` number, since 49 + 20 + 525 + 20 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 49205251998 and 49205252016.

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, 8341168 + ... + 8347064.

It is an arithmetic number, because the mean of its divisors is an integer number (992928300).

Almost surely, 249205252052 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 49205252052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71490837600).

49205252052 is an abundant number, since it is smaller than the sum of its proper divisors (93776423148).

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

49205252052 is a wasteful number, since it uses less digits than its factorization.

49205252052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7046 (or 7041 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 49205252052 in words is "forty-nine billion, two hundred five million, two hundred fifty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1109 1254 1881 2218 2508 3327 3762 4436 5897 6654 7524 9981 11794 12199 13308 17691 19962 21071 23588 24398 35382 36597 39924 42142 48796 53073 63213 64867 70764 73194 84284 106146 109791 112043 126426 129734 146388 189639 194601 212292 219582 224086 231781 252852 259468 336129 379278 389202 439164 448172 463562 583803 672258 695343 758556 778404 927124 1008387 1167606 1232473 1344516 1390686 2016774 2086029 2335212 2464946 2781372 3697419 4033548 4172058 4929892 6539773 7394838 8344116 11092257 13079546 14789676 19619319 22184514 26159092 39238638 44369028 58857957 71937503 78477276 117715914 124255687 143875006 215812509 235431828 248511374 287750012 372767061 431625018 497022748 647437527 745534122 863250036 1118301183 1294875054 1366812557 1491068244 2236602366 2589750108 2733625114 4100437671 4473204732 5467250228 8200875342 12301313013 16401750684 24602626026 49205252052