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49740616224 = 25321323577627
BaseRepresentation
bin101110010100110001…
…011001001000100000
311202101111202002222100
4232110301121020200
51303332044204344
634503414010400
73410422155555
oct562461311040
9152344662870
1049740616224
111a1053101a2
129782046a00
1348c90c30c0
14259c0d0a2c
151461c0a569
hexb94c59220

49740616224 has 144 divisors (see below), whose sum is σ = 158953983552. Its totient is φ = 14639353344.

The previous prime is 49740616181. The next prime is 49740616267. The reversal of 49740616224 is 42261604794.

49740616224 is a `hidden beast` number, since 4 + 9 + 7 + 4 + 0 + 616 + 2 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (49740616181) and next prime (49740616267).

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 49740616224.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202702 + ... + 374925.

It is an arithmetic number, because the mean of its divisors is an integer number (1103847108).

Almost surely, 249740616224 is an apocalyptic number.

It is an amenable number.

49740616224 is an abundant number, since it is smaller than the sum of its proper divisors (109213367328).

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

49740616224 is a wasteful number, since it uses less digits than its factorization.

49740616224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577679 (or 577668 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 49740616224 in words is "forty-nine billion, seven hundred forty million, six hundred sixteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 69 72 78 92 96 104 117 138 144 156 184 207 208 234 276 288 299 312 368 414 416 468 552 598 624 736 828 897 936 1104 1196 1248 1656 1794 1872 2208 2392 2691 3312 3588 3744 4784 5382 6624 7176 9568 10764 14352 21528 28704 43056 86112 577627 1155254 1732881 2310508 3465762 4621016 5198643 6931524 7509151 9242032 10397286 13285421 13863048 15018302 18484064 20794572 22527453 26570842 27726096 30036604 39856263 41589144 45054906 53141684 55452192 60073208 67582359 79712526 83178288 90109812 106283368 119568789 120146416 135164718 159425052 166356576 172710473 180219624 212566736 239137578 240292832 270329436 318850104 345420946 360439248 425133472 478275156 518131419 540658872 637700208 690841892 720878496 956550312 1036262838 1081317744 1275400416 1381683784 1554394257 1913100624 2072525676 2162635488 2763367568 3108788514 3826201248 4145051352 5526735136 6217577028 8290102704 12435154056 16580205408 24870308112 49740616224