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106160239008 = 2533122870647
BaseRepresentation
bin110001011011110100…
…1001011000110100000
3101011000111012220112000
41202313221023012200
53214404010122013
6120434102204000
710445515066665
oct1426751130640
9334014186460
10106160239008
114102776191a
12186a8a23600
13a01ab50995
1451d1261a6c
152b64e75973
hex18b7a4b1a0

106160239008 has 48 divisors (see below), whose sum is σ = 309634032960. Its totient is φ = 35386746048.

The previous prime is 106160239001. The next prime is 106160239021. The reversal of 106160239008 is 800932061601.

106160239008 is a `hidden beast` number, since 1 + 0 + 616 + 0 + 2 + 39 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1061602390082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106160239001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61434460 + ... + 61436187.

It is an arithmetic number, because the mean of its divisors is an integer number (6450709020).

Almost surely, 2106160239008 is an apocalyptic number.

106160239008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106160239008 is an abundant number, since it is smaller than the sum of its proper divisors (203473793952).

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

106160239008 is a wasteful number, since it uses less digits than its factorization.

106160239008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122870666 (or 122870652 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 106160239008 in words is "one hundred six billion, one hundred sixty million, two hundred thirty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 122870647 245741294 368611941 491482588 737223882 982965176 1105835823 1474447764 1965930352 2211671646 2948895528 3317507469 3931860704 4423343292 5897791056 6635014938 8846686584 11795582112 13270029876 17693373168 26540059752 35386746336 53080119504 106160239008