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148742154002196 = 2234459080722229
BaseRepresentation
bin100001110100011110111011…
…010000001001111100010100
3201111122121111110022112020000
4201310132323100021330110
5123443442412411032241
61244203111403011300
743221160144163406
oct4164367320117424
9644577443275200
10148742154002196
1143437214263917
1214823286509b30
1364cc42bb6bb51
1428a3231544b76
15122e1d1173eb6
hex8747bb409f14

148742154002196 has 30 divisors (see below), whose sum is σ = 388841371728810. Its totient is φ = 49580718000624.

The previous prime is 148742154002177. The next prime is 148742154002213. The reversal of 148742154002196 is 691200451247841.

148742154002196 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 4 + 2 + 1 + 540 + 0 + 2 + 1 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 145760709459600 + 2981444542596 = 12073140^2 + 1726686^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 229540360791 + ... + 229540361438.

It is an arithmetic number, because the mean of its divisors is an integer number (12961379057627).

Almost surely, 2148742154002196 is an apocalyptic number.

It is an amenable number.

148742154002196 is an abundant number, since it is smaller than the sum of its proper divisors (240099217726614).

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

148742154002196 is a wasteful number, since it uses less digits than its factorization.

148742154002196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459080722245 (or 459080722234 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 148742154002196 in words is "one hundred forty-eight trillion, seven hundred forty-two billion, one hundred fifty-four million, two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 459080722229 918161444458 1377242166687 1836322888916 2754484333374 4131726500061 5508968666748 8263453000122 12395179500183 16526906000244 24790359000366 37185538500549 49580718000732 74371077001098 148742154002196