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49319977168 = 24711193595869
BaseRepresentation
bin101101111011101100…
…110010000011010000
311201022012020102200001
4231323230302003100
51302001403232133
634353550135344
73364123613620
oct557354620320
9151265212601
1049319977168
1119a09928910
1296851b1554
13485cc06557
14255c2b6880
151439d1b87d
hexb7bb320d0

49319977168 has 160 divisors (see below), whose sum is σ = 125777664000. Its totient is φ = 18150428160.

The previous prime is 49319977163. The next prime is 49319977229. The reversal of 49319977168 is 86177991394.

49319977168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49319977163) 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, 8400538 + ... + 8406406.

It is an arithmetic number, because the mean of its divisors is an integer number (786110400).

Almost surely, 249319977168 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 49319977168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62888832000).

49319977168 is an abundant number, since it is smaller than the sum of its proper divisors (76457686832).

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

49319977168 is a wasteful number, since it uses less digits than its factorization.

49319977168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6273 (or 6267 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 64.

The spelling of 49319977168 in words is "forty-nine billion, three hundred nineteen million, nine hundred seventy-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 133 152 154 176 209 266 304 308 359 418 532 616 718 836 1064 1232 1436 1463 1672 2128 2513 2872 2926 3344 3949 5026 5744 5852 5869 6821 7898 10052 11704 11738 13642 15796 20104 23408 23476 27284 27643 31592 40208 41083 46952 47747 54568 55286 63184 64559 75031 82166 93904 95494 109136 110572 111511 129118 150062 164332 190988 221144 223022 258236 300124 328664 381976 442288 446044 451913 516472 525217 600248 657328 763952 780577 892088 903826 1032944 1050434 1200496 1226621 1561154 1784176 1807652 2100868 2106971 2453242 3122308 3615304 4201736 4213942 4906484 6244616 7230608 8403472 8427884 8586347 9812968 12489232 14748797 16855768 17172694 19625936 23176681 29497594 33711536 34345388 40032449 46353362 58995188 68690776 80064898 92706724 117990376 137381552 160129796 162236767 185413448 235980752 280227143 320259592 324473534 370826896 440356939 560454286 640519184 648947068 880713878 1120908572 1297894136 1761427756 2241817144 2595788272 3082498573 3522855512 4483634288 6164997146 7045711024 12329994292 24659988584 49319977168