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2148862464 = 29327231307
BaseRepresentation
bin1000000000010101…
…0000101000000000
312112202110112010200
42000011100220000
513400102044324
6553121325200
7104152013100
oct20005205000
95482415120
102148862464
11a02a821a1
124bb796800
13283268568
14165569200
15c89b9ec9
hex80150a00

2148862464 has 360 divisors, whose sum is σ = 7471271808. Its totient is φ = 592220160.

The previous prime is 2148862453. The next prime is 2148862493. The reversal of 2148862464 is 4642688412.

2148862464 is a `hidden beast` number, since 2 + 14 + 8 + 8 + 624 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6999399 + ... + 6999705.

Almost surely, 22148862464 is an apocalyptic number.

2148862464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148862464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735635904).

2148862464 is an abundant number, since it is smaller than the sum of its proper divisors (5322409344).

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

2148862464 is a wasteful number, since it uses less digits than its factorization.

2148862464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 350 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 2148862464 is about 46355.8244884071. The cubic root of 2148862464 is about 1290.4352164109.

The spelling of 2148862464 in words is "two billion, one hundred forty-eight million, eight hundred sixty-two thousand, four hundred sixty-four".