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2942666496 = 28347111997
BaseRepresentation
bin1010111101100101…
…1000011100000000
321121002010221120000
42233121120130000
522011310311441
61203555320000
7132631152420
oct25731303400
97532127500
102942666496
111280070990
126a15b0000
1337b85c1a3
141dcb60480
1512351b2b6
hexaf658700

2942666496 has 720 divisors, whose sum is σ = 11634120960. Its totient is φ = 716636160.

The previous prime is 2942666423. The next prime is 2942666501. The reversal of 2942666496 is 6946662492.

It is a super-2 number, since 2×29426664962 = 17318572213361836032, which contains 22 as substring.

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

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

Its product of digits (6718464) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30336720 + ... + 30336816.

Almost surely, 22942666496 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 2942666496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5817060480).

2942666496 is an abundant number, since it is smaller than the sum of its proper divisors (8691454464).

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

2942666496 is a wasteful number, since it uses less digits than its factorization.

2942666496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 139 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 2942666496 is about 54246.3500707651. The cubic root of 2942666496 is about 1433.0027204055.

The spelling of 2942666496 in words is "two billion, nine hundred forty-two million, six hundred sixty-six thousand, four hundred ninety-six".