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20914061119248 = 243111133796171499
BaseRepresentation
bin1001100000101011011110…
…01011110000111100010000
32202001100211212201110022110
410300111233023300330100
510220123444121303443
6112251442000105320
74255663634236113
oct460255713607420
982040755643273
1020914061119248
116733670300940
122419350905240
13b89258c2b23b
14524362caa57a
15264051a6a233
hex13056f2f0f10

20914061119248 has 320 divisors, whose sum is σ = 59754568320000. Its totient is φ = 6250608967680.

The previous prime is 20914061119223. The next prime is 20914061119261. The reversal of 20914061119248 is 84291116041902.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 20914061119197 and 20914061119206.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13952008003 + ... + 13952009501.

It is an arithmetic number, because the mean of its divisors is an integer number (186733026000).

Almost surely, 220914061119248 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 20914061119248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29877284160000).

20914061119248 is an abundant number, since it is smaller than the sum of its proper divisors (38840507200752).

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

20914061119248 is a wasteful number, since it uses less digits than its factorization.

20914061119248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 20914061119248 in words is "twenty trillion, nine hundred fourteen billion, sixty-one million, one hundred nineteen thousand, two hundred forty-eight".