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48635867840742 = 23371383291188307
BaseRepresentation
bin10110000111011111010111…
…01000000100000011100110
320101012112200020211120022000
423003233223220010003212
522333322224131400432
6251235001554550130
713146553100402250
oct1303575350040346
9211175606746260
1048635867840742
11145513a0509496
125555b59898346
13211a45ba86710
14c01dba892cd0
155951e585857c
hex2c3beba040e6

48635867840742 has 128 divisors (see below), whose sum is σ = 133037259801600. Its totient is φ = 12825491228928.

The previous prime is 48635867840737. The next prime is 48635867840761. The reversal of 48635867840742 is 24704876853684.

48635867840742 is a `hidden beast` number, since 4 + 8 + 6 + 35 + 86 + 78 + 407 + 42 = 666.

It is a super-2 number, since 2×486358678407422 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40334553 + ... + 41522859.

It is an arithmetic number, because the mean of its divisors is an integer number (1039353592200).

Almost surely, 248635867840742 is an apocalyptic number.

48635867840742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 48635867840742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66518629900800).

48635867840742 is an abundant number, since it is smaller than the sum of its proper divisors (84401391960858).

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

48635867840742 is a wasteful number, since it uses less digits than its factorization.

48635867840742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196667 (or 1196661 counting only the distinct ones).

The product of its (nonzero) digits is 1734082560, while the sum is 72.

The spelling of 48635867840742 in words is "forty-eight trillion, six hundred thirty-five billion, eight hundred sixty-seven million, eight hundred forty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 8329 16658 24987 49974 58303 74961 108277 116606 149922 174909 216554 224883 324831 349818 449766 524727 649662 757939 974493 1049454 1188307 1515878 1574181 1948986 2273817 2376614 2923479 3148362 3564921 4547634 5846958 6821451 7129842 8318149 10694763 13642902 15447991 16636298 20464353 21389526 24954447 30895982 32084289 40928706 46343973 49908894 64168578 74863341 92687946 108135937 139031919 149726682 216271874 224590023 278063838 324407811 417095757 449180046 648815622 834191514 973223433 1946446866 2919670299 5839340598 9897409003 19794818006 29692227009 59384454018 69281863021 89076681027 128666317039 138563726042 178153362054 207845589063 257332634078 267230043081 385998951117 415691178126 534460086162 623536767189 771997902234 900664219273 1157996853351 1247073534378 1801328438546 1870610301567 2315993706702 2701992657819 3473990560053 3741220603134 5403985315638 6947981120106 8105977973457 16211955946914 24317933920371 48635867840742