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248429240136 = 23357112312157
BaseRepresentation
bin1110011101011110001…
…0010101111101001000
3212202020110102222200000
43213113202111331020
513032240341141021
6310043220443000
723643210461640
oct3472742257510
9782213388600
10248429240136
11963a3914100
1240192549460
131a57182329c
14c049d6d520
1566dee93b26
hex39d7895f48

248429240136 has 864 divisors, whose sum is σ = 911466279360. Its totient is φ = 62047814400.

The previous prime is 248429240117. The next prime is 248429240177. The reversal of 248429240136 is 631042924842.

It is a junction number, because it is equal to n+sod(n) for n = 248429240091 and 248429240100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1582351770 + ... + 1582351926.

Almost surely, 2248429240136 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 248429240136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455733139680).

248429240136 is an abundant number, since it is smaller than the sum of its proper divisors (663037039224).

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

248429240136 is a wasteful number, since it uses less digits than its factorization.

248429240136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 248429240136 in words is "two hundred forty-eight billion, four hundred twenty-nine million, two hundred forty thousand, one hundred thirty-six".