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49165422930 = 23451322920389
BaseRepresentation
bin101101110010011111…
…001101000101010010
311200220102102021010000
4231302133031011102
51301142322013210
634330345350430
73360236125311
oct556237150522
9150812367100
1049165422930
111993a665a38
129641498416
134836ba1740
142545964278
15142b48cac0
hexb727cd152

49165422930 has 160 divisors (see below), whose sum is σ = 142998332400. Its totient is φ = 12048818688.

The previous prime is 49165422857. The next prime is 49165422931. The reversal of 49165422930 is 3922456194.

49165422930 is a `hidden beast` number, since 4 + 9 + 16 + 542 + 2 + 93 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37696940649 + 11468482281 = 194157^2 + 107091^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (49165422931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2401176 + ... + 2421564.

Almost surely, 249165422930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49165422930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71499166200).

49165422930 is an abundant number, since it is smaller than the sum of its proper divisors (93832909470).

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

49165422930 is a wasteful number, since it uses less digits than its factorization.

49165422930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20650 (or 20641 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 49165422930 in words is "forty-nine billion, one hundred sixty-five million, four hundred twenty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 229 234 270 351 390 405 458 585 687 702 810 1053 1145 1170 1374 1755 2061 2106 2290 2977 3435 3510 4122 5265 5954 6183 6870 8931 10305 10530 12366 14885 17862 18549 20389 20610 26793 29770 30915 37098 40778 44655 53586 61167 61830 80379 89310 92745 101945 122334 133965 160758 183501 185490 203890 241137 265057 267930 305835 367002 401895 482274 530114 550503 611670 795171 803790 917505 1101006 1205685 1325285 1590342 1651509 1835010 2385513 2411370 2650570 2752515 3303018 3975855 4669081 4771026 5505030 7156539 7951710 8257545 9338162 11927565 14007243 14313078 16515090 21469617 23345405 23855130 28014486 35782695 42021729 42939234 46690810 60698053 70036215 71565390 84043458 107348085 121396106 126065187 140072430 182094159 210108645 214696170 252130374 303490265 364188318 378195561 420217290 546282477 606980530 630325935 756391122 910470795 1092564954 1260651870 1638847431 1820941590 1890977805 2731412385 3277694862 3781955610 4916542293 5462824770 8194237155 9833084586 16388474310 24582711465 49165422930