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2990169728 = 277313331
BaseRepresentation
bin1011001000111010…
…0101111010000000
321201101112100201222
42302032211322000
522110440412403
61212413414212
7134046011000
oct26216457200
97641470658
102990169728
1112a4966857
126b549a368
13388652000
142051a8000
151277a1338
hexb23a5e80

2990169728 has 256 divisors, whose sum is σ = 7768320000. Its totient is φ = 1144765440.

The previous prime is 2990169709. The next prime is 2990169739. The reversal of 2990169728 is 8279610992.

It is a super-2 number, since 2×29901697282 = 17882230004495187968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2990169728.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96457073 + ... + 96457103.

It is an arithmetic number, because the mean of its divisors is an integer number (30345000).

Almost surely, 22990169728 is an apocalyptic number.

2990169728 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 2990169728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884160000).

2990169728 is an abundant number, since it is smaller than the sum of its proper divisors (4778150272).

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

2990169728 is an frugal number, since it uses more digits than its factorization.

2990169728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 53.

The square root of 2990169728 is about 54682.4444223189. Note that the first 4 decimals coincide. The cubic root of 2990169728 is about 1440.6725459237.

The spelling of 2990169728 in words is "two billion, nine hundred ninety million, one hundred sixty-nine thousand, seven hundred twenty-eight".