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10489691520 = 2732571167353
BaseRepresentation
bin10011100010011101…
…11111110110000000
31000002001012112121100
421301032333312000
5132440330112040
64452514254400
7520641623010
oct116116776600
930061175540
1010489691520
1144a3180550
122048b87400
13cb22a3479
147171d3c40
15415d8bb30
hex2713bfd80

10489691520 has 768 divisors, whose sum is σ = 45964039680. Its totient is φ = 2141061120.

The previous prime is 10489691507. The next prime is 10489691533. The reversal of 10489691520 is 2519698401.

10489691520 is a `hidden beast` number, since 10 + 489 + 6 + 9 + 152 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10489691507) and next prime (10489691533).

It is a super-2 number, since 2×104896915202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29715664 + ... + 29716016.

It is an arithmetic number, because the mean of its divisors is an integer number (59849010).

Almost surely, 210489691520 is an apocalyptic number.

10489691520 is a gapful number since it is divisible by the number (10) 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 10489691520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982019840).

10489691520 is an abundant number, since it is smaller than the sum of its proper divisors (35474348160).

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

10489691520 is a wasteful number, since it uses less digits than its factorization.

10489691520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10489691520 in words is "ten billion, four hundred eighty-nine million, six hundred ninety-one thousand, five hundred twenty".