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2472098688 = 273261127277
BaseRepresentation
bin1001001101011001…
…0011101110000000
320101021200121212200
42103112103232000
520030324124223
61045145353200
7115155330543
oct22326235600
96337617780
102472098688
111059487374
1258ba98800
133052107b7
1419646a85a
15e7068a43
hex93593b80

2472098688 has 192 divisors, whose sum is σ = 7313579520. Its totient is φ = 801239040.

The previous prime is 2472098669. The next prime is 2472098729. The reversal of 2472098688 is 8868902742.

2472098688 is a `hidden beast` number, since 2 + 472 + 0 + 98 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×24720986882 = 12222543846422642688, which contains 22 as substring.

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, 8924406 + ... + 8924682.

It is an arithmetic number, because the mean of its divisors is an integer number (38091560).

Almost surely, 22472098688 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 2472098688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656789760).

2472098688 is an abundant number, since it is smaller than the sum of its proper divisors (4841480832).

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

2472098688 is a wasteful number, since it uses less digits than its factorization.

2472098688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 2472098688 is about 49720.2040221076. The cubic root of 2472098688 is about 1352.1408534087.

The spelling of 2472098688 in words is "two billion, four hundred seventy-two million, ninety-eight thousand, six hundred eighty-eight".