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2148668412 = 2231140939799
BaseRepresentation
bin1000000000010010…
…0001001111111100
312112202002122221120
42000010201033330
513400024342122
6553113230540
7104150244252
oct20004411774
95482078846
102148668412
11a0295a420
124bb702450
132831cb137
141655185d2
15c897c75c
hex801213fc

2148668412 has 48 divisors (see below), whose sum is σ = 5482848000. Its totient is φ = 649503360.

The previous prime is 2148668387. The next prime is 2148668507.

2148668412 is nontrivially palindromic in base 10.

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, 34089 + ... + 73887.

It is an arithmetic number, because the mean of its divisors is an integer number (114226000).

Almost surely, 22148668412 is an apocalyptic number.

2148668412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2148668412 is an abundant number, since it is smaller than the sum of its proper divisors (3334179588).

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

2148668412 is a wasteful number, since it uses less digits than its factorization.

2148668412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40226 (or 40224 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 2148668412 is about 46353.7313708400. The cubic root of 2148668412 is about 1290.3963711960.

It can be divided in two parts, 21486 and 68412, that added together give a palindrome (89898).

The spelling of 2148668412 in words is "two billion, one hundred forty-eight million, six hundred sixty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 409 818 1227 1636 2454 4499 4908 8998 13497 17996 26994 39799 53988 79598 119397 159196 238794 437789 477588 875578 1313367 1751156 2626734 5253468 16277791 32555582 48833373 65111164 97666746 179055701 195333492 358111402 537167103 716222804 1074334206 2148668412