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2067087268818 = 23311213173161757
BaseRepresentation
bin11110000101001000000…
…000001001101111010010
321022121111212101012211000
4132011020000021233102
5232331343320100233
64221335022002430
7302225230611045
oct36051000115722
97277455335730
102067087268818
11727712968900
12294747416416
1311cc05401240
14720946d8c5c
1538b82a36d13
hex1e148009bd2

2067087268818 has 768 divisors, whose sum is σ = 6048452874240. Its totient is φ = 517321728000.

The previous prime is 2067087268817. The next prime is 2067087268837. The reversal of 2067087268818 is 8188627807602.

It is a super-3 number, since 3×20670872688183 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2067087268817) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2730630096 + ... + 2730630852.

It is an arithmetic number, because the mean of its divisors is an integer number (7875589680).

Almost surely, 22067087268818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2067087268818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024226437120).

2067087268818 is an abundant number, since it is smaller than the sum of its proper divisors (3981365605422).

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

2067087268818 is a wasteful number, since it uses less digits than its factorization.

2067087268818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 2067087268818 in words is "two trillion, sixty-seven billion, eighty-seven million, two hundred sixty-eight thousand, eight hundred eighteen".