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148127995876 = 22723727432
BaseRepresentation
bin1000100111110100011…
…1011101011111100100
3112011100021221211222111
42021331013131133210
54411331231332001
6152014333010404
713462515122200
oct2117507353744
9464307854874
10148127995876
1157903434803
122485b923a04
1310c7879b603
147252cd3b00
153cbe5a1851
hex227d1dd7e4

148127995876 has 81 divisors (see below), whose sum is σ = 310334120649. Its totient is φ = 61684525728.

The previous prime is 148127995853. The next prime is 148127995901. The reversal of 148127995876 is 678599721841.

The square root of 148127995876 is 384874.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 132546964900 + 15581030976 = 364070^2 + 124824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 199364361 + ... + 199365103.

Almost surely, 2148127995876 is an apocalyptic number.

148127995876 is the 384874-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148127995876

148127995876 is an abundant number, since it is smaller than the sum of its proper divisors (162206124773).

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

148127995876 is an frugal number, since it uses more digits than its factorization.

148127995876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 789 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 67.

The spelling of 148127995876 in words is "one hundred forty-eight billion, one hundred twenty-seven million, nine hundred ninety-five thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 518 743 1036 1369 1486 1813 2738 2972 3626 5201 5476 7252 9583 10402 19166 20804 27491 36407 38332 54982 67081 72814 109964 134162 145628 192437 268324 384874 552049 769748 1017167 1104098 1347059 2034334 2208196 2694118 3864343 4068668 5388236 7120169 7728686 14240338 15457372 20425813 27050401 28480676 40851626 49841183 54100802 81703252 99682366 108201604 142980691 199364732 285961382 571922764 755755081 1000864837 1511510162 2001729674 3023020324 4003459348 5290285567 10580571134 21161142268 37031998969 74063997938 148127995876