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2378331648 = 29327116703
BaseRepresentation
bin1000110111000010…
…0111011000000000
320010202020202200100
42031300213120000
514332323103043
61031555522400
7112636325340
oct21560473000
96122222610
102378331648
111010562850
125645b9400
132bb970044
14187c1cd20
15ddbe5cd3
hex8dc27600

2378331648 has 240 divisors, whose sum is σ = 8559023616. Its totient is φ = 617656320.

The previous prime is 2378331619. The next prime is 2378331653. The reversal of 2378331648 is 8461338732.

It is a super-2 number, since 2×23783316482 = 11312922855756791808, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351465 + ... + 358167.

Almost surely, 22378331648 is an apocalyptic number.

2378331648 is a gapful number since it is divisible by the number (28) 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 2378331648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279511808).

2378331648 is an abundant number, since it is smaller than the sum of its proper divisors (6180691968).

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

2378331648 is a wasteful number, since it uses less digits than its factorization.

2378331648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6745 (or 6726 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2378331648 is about 48768.1417320775. The cubic root of 2378331648 is about 1334.8244047967.

The spelling of 2378331648 in words is "two billion, three hundred seventy-eight million, three hundred thirty-one thousand, six hundred forty-eight".