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48309149574 = 23471132771361
BaseRepresentation
bin101100111111011100…
…110001111110000110
311121200202012001220000
4230333130301332012
51242414120241244
634105400422130
73330100665450
oct547734617606
9147622161800
1048309149574
111954028a104
129442777946
13472b677c0a
1424a3d4b2d0
1513cb1ec169
hexb3f731f86

48309149574 has 160 divisors (see below), whose sum is σ = 125349719616. Its totient is φ = 13621063680.

The previous prime is 48309149549. The next prime is 48309149597. The reversal of 48309149574 is 47594190384.

48309149574 is a `hidden beast` number, since 4 + 83 + 0 + 9 + 1 + 495 + 74 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 48309149574.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35494654 + ... + 35496014.

Almost surely, 248309149574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48309149574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62674859808).

48309149574 is an abundant number, since it is smaller than the sum of its proper divisors (77040570042).

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

48309149574 is a wasteful number, since it uses less digits than its factorization.

48309149574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 48309149574 in words is "forty-eight billion, three hundred nine million, one hundred forty-nine thousand, five hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 113 126 162 189 226 277 339 378 554 567 678 791 831 1017 1134 1361 1582 1662 1939 2034 2373 2493 2722 3051 3878 4083 4746 4986 5817 6102 7119 7479 8166 9153 9527 11634 12249 14238 14958 17451 18306 19054 21357 22437 24498 28581 31301 34902 36747 42714 44874 52353 57162 62602 64071 73494 85743 93903 104706 110241 128142 153793 157059 171486 187806 219107 220482 257229 281709 307586 314118 376997 438214 461379 514458 563418 657321 753994 771687 845127 922758 1076551 1130991 1314642 1384137 1543374 1690254 1971963 2153102 2261982 2535381 2638979 2768274 3229653 3392973 3943926 4152411 5070762 5277958 5915889 6459306 6785946 7916937 8304822 9688959 10178919 11831778 12457233 15833874 17747667 19377918 20357838 23750811 24914466 29066877 30536757 35495334 42600661 47501622 58133754 61073514 71252433 85201322 87200631 127801983 142504866 174401262 213757299 255603966 298204627 383405949 427514598 596409254 766811898 894613881 1150217847 1789227762 2300435694 2683841643 3450653541 5367683286 6901307082 8051524929 16103049858 24154574787 48309149574