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48908873142 = 23319208122907
BaseRepresentation
bin101101100011001100…
…100010110110110110
311200020112200011222000
4231203030202312312
51300131132420032
634245102520130
73351002363613
oct554314426666
9150215604860
1048908873142
1119818869318
12958b596046
1347c59a7a2c
14251d86150a
151413bb2e7c
hexb63322db6

48908873142 has 64 divisors (see below), whose sum is σ = 114466694400. Its totient is φ = 15436811520.

The previous prime is 48908873081. The next prime is 48908873147. The reversal of 48908873142 is 24137880984.

It is a happy number.

48908873142 is a `hidden beast` number, since 489 + 0 + 88 + 73 + 14 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48908873147) 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 31 ways as a sum of consecutive naturals, for example, 2123653 + ... + 2146559.

It is an arithmetic number, because the mean of its divisors is an integer number (1788542100).

Almost surely, 248908873142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48908873142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57233347200).

48908873142 is an abundant number, since it is smaller than the sum of its proper divisors (65557821258).

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

48908873142 is a wasteful number, since it uses less digits than its factorization.

48908873142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25018 (or 25012 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 48908873142 in words is "forty-eight billion, nine hundred eight million, eight hundred seventy-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 2081 4162 6243 12486 18729 22907 37458 39539 45814 56187 68721 79078 112374 118617 137442 206163 237234 355851 412326 435233 618489 711702 870466 1067553 1236978 1305699 2135106 2611398 3917097 7834194 11751291 23502582 47669467 95338934 143008401 286016802 429025203 858050406 905719873 1287075609 1811439746 2574151218 2717159619 5434319238 8151478857 16302957714 24454436571 48908873142