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2000018200048 = 2411193071948181
BaseRepresentation
bin11101000110101010010…
…111111101010111110000
321002012101201002111201221
4131012222113331113300
5230232014124400143
64130443511034424
7264332213126311
oct35065227752760
97065351074657
102000018200048
11701226151850
1228374a06ba14
131167a726742b
146cb3106a608
15370598c52ed
hex1d1aa5fd5f0

2000018200048 has 80 divisors (see below), whose sum is σ = 4464298016640. Its totient is φ = 858446035200.

The previous prime is 2000018199941. The next prime is 2000018200049. The reversal of 2000018200048 is 8400028100002.

It is a junction number, because it is equal to n+sod(n) for n = 2000018199995 and 2000018200031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000018200049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52518 + ... + 2000698.

It is an arithmetic number, because the mean of its divisors is an integer number (55803725208).

Almost surely, 22000018200048 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 2000018200048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232149008320).

2000018200048 is an abundant number, since it is smaller than the sum of its proper divisors (2464279816592).

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

2000018200048 is a wasteful number, since it uses less digits than its factorization.

2000018200048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948526 (or 1948520 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The spelling of 2000018200048 in words is "two trillion, eighteen million, two hundred thousand, forty-eight".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 307 418 614 836 1228 1672 2456 3344 3377 4912 5833 6754 11666 13508 23332 27016 46664 54032 64163 93328 128326 256652 513304 1026608 1948181 3896362 7792724 15585448 21429991 31170896 37015439 42859982 74030878 85719964 148061756 171439928 296123512 342879856 407169829 592247024 598091567 814339658 1196183134 1628679316 2392366268 3257358632 4784732536 6514717264 6579007237 9569465072 11363739773 13158014474 22727479546 26316028948 45454959092 52632057896 90909918184 105264115792 125001137503 181819836368 250002275006 500004550012 1000009100024 2000018200048