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148126784042160 = 2432571123931116523
BaseRepresentation
bin100001101011100001110100…
…010110000011010010110000
3201102110210010021011121021200
4201223201310112003102300
5123403402123203322120
61243012301041051200
743125543536630310
oct4153416426032260
9642423107147250
10148126784042160
114321a241a30910
1214743b68326b00
1364863acb41241
142881535c95440
15121d1b6cb3e90
hex86b8745834b0

148126784042160 has 480 divisors, whose sum is σ = 620468500474368. Its totient is φ = 30766701588480.

The previous prime is 148126784042123. The next prime is 148126784042179. The reversal of 148126784042160 is 61240487621841.

148126784042160 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 2 + 6 + 78 + 404 + 2 + 160 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 148126784042097 and 148126784042106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132109659 + ... + 133226181.

Almost surely, 2148126784042160 is an apocalyptic number.

148126784042160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148126784042160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310234250237184).

148126784042160 is an abundant number, since it is smaller than the sum of its proper divisors (472341716432208).

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

148126784042160 is a wasteful number, since it uses less digits than its factorization.

148126784042160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118953 (or 1118944 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 148126784042160 in words is "one hundred forty-eight trillion, one hundred twenty-six billion, seven hundred eighty-four million, forty-two thousand, one hundred sixty".