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49077446814 = 23211233236781
BaseRepresentation
bin101101101101001111…
…100110100010011110
311200200021212121120100
4231231033212202132
51301002311244224
634313524001530
73355120262214
oct555517464236
9150607777510
1049077446814
11198a4a37200
129617b302a6
1348218aaa76
142537dc2cb4
1514238b0ac9
hexb6d3e689e

49077446814 has 72 divisors (see below), whose sum is σ = 116932449816. Its totient is φ = 14865285600.

The previous prime is 49077446807. The next prime is 49077446867. The reversal of 49077446814 is 41864477094.

49077446814 is a `hidden beast` number, since 490 + 7 + 74 + 4 + 6 + 81 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7234104 + ... + 7240884.

It is an arithmetic number, because the mean of its divisors is an integer number (1624061803).

Almost surely, 249077446814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49077446814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58466224908).

49077446814 is an abundant number, since it is smaller than the sum of its proper divisors (67855003002).

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

49077446814 is a wasteful number, since it uses less digits than its factorization.

49077446814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10134 (or 10120 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 49077446814 in words is "forty-nine billion, seventy-seven million, four hundred forty-six thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 3323 6646 6781 9969 13562 19938 20343 29907 36553 40686 59814 61029 73106 74591 109659 122058 149182 219318 223773 328977 402083 447546 657954 671319 804166 820501 1206249 1342638 1641002 2412498 2461503 3618747 4923006 7237494 7384509 14769018 22533263 45066526 67599789 135199578 202799367 247865893 405598734 495731786 743597679 1487195358 2230793037 2726524823 4461586074 5453049646 8179574469 16359148938 24538723407 49077446814