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2018117430 = 23557217997
BaseRepresentation
bin111100001001010…
…0000011100110110
312012122102222200000
41320102200130312
513113114224210
6532131132130
7101003500200
oct17022403466
95178388600
102018117430
119461a154a
12483a44046
1326214b934
14152053770
15bc290ac0
hex784a0736

2018117430 has 288 divisors, whose sum is σ = 6708907296. Its totient is φ = 433714176.

The previous prime is 2018117401. The next prime is 2018117449. The reversal of 2018117430 is 347118102.

It is a super-2 number, since 2×20181174302 = 8145595922539609800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2018117394 and 2018117403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2023692 + ... + 2024688.

It is an arithmetic number, because the mean of its divisors is an integer number (23294817).

Almost surely, 22018117430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2018117430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354453648).

2018117430 is an abundant number, since it is smaller than the sum of its proper divisors (4690789866).

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

2018117430 is a wasteful number, since it uses less digits than its factorization.

2018117430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2018117430 is about 44923.4619102313. The cubic root of 2018117430 is about 1263.7140415413.

The spelling of 2018117430 in words is "two billion, eighteen million, one hundred seventeen thousand, four hundred thirty".