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2128697088 = 28373153241
BaseRepresentation
bin111111011100001…
…0101011100000000
312111100112000102220
41332320111130000
513324421301323
6551121211040
7103515424650
oct17670253400
95440460386
102128697088
119a26596a1
124b4a90a80
1327c027a9b
141629da360
15c6d350e3
hex7ee15700

2128697088 has 288 divisors, whose sum is σ = 6838013952. Its totient is φ = 575078400.

The previous prime is 2128697071. The next prime is 2128697113. The reversal of 2128697088 is 8807968212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2128697088.

It is a congruent number.

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, 8832648 + ... + 8832888.

It is an arithmetic number, because the mean of its divisors is an integer number (23743104).

Almost surely, 22128697088 is an apocalyptic number.

2128697088 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 2128697088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419006976).

2128697088 is an abundant number, since it is smaller than the sum of its proper divisors (4709316864).

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

2128697088 is a wasteful number, since it uses less digits than its factorization.

2128697088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 2128697088 is about 46137.8054094470. The cubic root of 2128697088 is about 1286.3859519270.

The spelling of 2128697088 in words is "two billion, one hundred twenty-eight million, six hundred ninety-seven thousand, eighty-eight".