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2148518128 = 24297958613
BaseRepresentation
bin1000000000001111…
…1100100011110000
312112201211000210111
42000003330203300
513400010040003
6553110111104
7104146050151
oct20003744360
95481730714
102148518128
11a02867519
124bb64b494
13283177903
141654b9928
15c894ce6d
hex800fc8f0

2148518128 has 40 divisors (see below), whose sum is σ = 4360881600. Its totient is φ = 1024068864.

The previous prime is 2148518107. The next prime is 2148518129. The reversal of 2148518128 is 8218158412.

It is a super-2 number, since 2×21485181282 = 9232260292689248768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148518129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7350 + ... + 65962.

It is an arithmetic number, because the mean of its divisors is an integer number (109022040).

Almost surely, 22148518128 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 2148518128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180440800).

2148518128 is an abundant number, since it is smaller than the sum of its proper divisors (2212363472).

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

2148518128 is a wasteful number, since it uses less digits than its factorization.

2148518128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58729 (or 58723 counting only the distinct ones).

The product of its digits is 40960, while the sum is 40.

The square root of 2148518128 is about 46352.1102863721. The cubic root of 2148518128 is about 1290.3662858264.

The spelling of 2148518128 in words is "two billion, one hundred forty-eight million, five hundred eighteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 29 58 79 116 158 232 316 464 632 1264 2291 4582 9164 18328 36656 58613 117226 234452 468904 937808 1699777 3399554 4630427 6799108 9260854 13598216 18521708 27196432 37043416 74086832 134282383 268564766 537129532 1074259064 2148518128