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48143332423116 = 22327416123074079
BaseRepresentation
bin10101111001001001111100…
…01110100011010111001100
320022110110100121112221001100
422330210332032203113030
522302240021100014431
6250220424103343100
713066145441414460
oct1274447616432714
9208413317487040
1048143332423116
1114381522071237
125496600751a90
1320b2b87275ab8
14bc6214ba24a0
155874ba20d4e6
hex2bc93e3a35cc

48143332423116 has 432 divisors, whose sum is σ = 145354302213120. Its totient is φ = 13153527014400.

The previous prime is 48143332423007. The next prime is 48143332423183. The reversal of 48143332423116 is 61132423334184.

48143332423116 is a `hidden beast` number, since 4 + 8 + 1 + 4 + 3 + 3 + 324 + 2 + 311 + 6 = 666.

It is a super-2 number, since 2×481433324231162 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11802727165 + ... + 11802731243.

It is an arithmetic number, because the mean of its divisors is an integer number (336468292160).

Almost surely, 248143332423116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48143332423116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72677151106560).

48143332423116 is an abundant number, since it is smaller than the sum of its proper divisors (97210969790004).

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

48143332423116 is a wasteful number, since it uses less digits than its factorization.

48143332423116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566 (or 4500 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 48143332423116 in words is "forty-eight trillion, one hundred forty-three billion, three hundred thirty-two million, four hundred twenty-three thousand, one hundred sixteen".