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2974866048 = 273372111597
BaseRepresentation
bin1011000101010000…
…1101101010000000
321200022201212001000
42301110031222000
522043031203143
61211105412000
7133501641600
oct26124155200
97608655030
102974866048
111297263990
126b033a000
1338542438b
14203142c00
1512627bbd3
hexb150da80

2974866048 has 384 divisors, whose sum is σ = 11148926400. Its totient is φ = 772208640.

The previous prime is 2974866007. The next prime is 2974866073. The reversal of 2974866048 is 8406684792.

2974866048 is a `hidden beast` number, since 29 + 7 + 4 + 8 + 6 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2974865985 and 2974866003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1861986 + ... + 1863582.

Almost surely, 22974866048 is an apocalyptic number.

2974866048 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 2974866048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574463200).

2974866048 is an abundant number, since it is smaller than the sum of its proper divisors (8174060352).

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

2974866048 is a wasteful number, since it uses less digits than its factorization.

2974866048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 2974866048 is about 54542.3326233853. The cubic root of 2974866048 is about 1438.2105550090.

It can be divided in two parts, 297 and 4866048, that multiplied together give a square (1445216256 = 380162).

The spelling of 2974866048 in words is "two billion, nine hundred seventy-four million, eight hundred sixty-six thousand, forty-eight".