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2018688952 = 2371131492141
BaseRepresentation
bin111100001010010…
…1011111110111000
312012200112000122111
41320110223332320
513113241021302
6532151302104
7101011400350
oct17024537670
95180460574
102018688952
11946551985
1248407a934
132622bbb07
14152161b60
15bc3550d7
hex7852bfb8

2018688952 has 64 divisors (see below), whose sum is σ = 4395384000. Its totient is φ = 851343360.

The previous prime is 2018688949. The next prime is 2018688961. The reversal of 2018688952 is 2598868102.

It is a junction number, because it is equal to n+sod(n) for n = 2018688896 and 2018688905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 941802 + ... + 943942.

It is an arithmetic number, because the mean of its divisors is an integer number (68677875).

Almost surely, 22018688952 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 2018688952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197692000).

2018688952 is an abundant number, since it is smaller than the sum of its proper divisors (2376695048).

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

2018688952 is a wasteful number, since it uses less digits than its factorization.

2018688952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The square root of 2018688952 is about 44929.8225235756. The cubic root of 2018688952 is about 1263.8333230390.

The spelling of 2018688952 in words is "two billion, eighteen million, six hundred eighty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 113 149 226 298 452 596 791 904 1043 1192 1582 2086 2141 3164 4172 4282 6328 8344 8564 14987 16837 17128 29974 33674 59948 67348 117859 119896 134696 235718 241933 319009 471436 483866 638018 942872 967732 1276036 1693531 1935464 2233063 2552072 3387062 4466126 6774124 8932252 13548248 17864504 36048017 72096034 144192068 252336119 288384136 504672238 1009344476 2018688952