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9890145888 = 253722102497
BaseRepresentation
bin10010011010111111…
…11010011001100000
3221112021001110121120
421031133322121200
5130223334132023
64313220052240
7500041565400
oct111537723140
927467043546
109890145888
114215802a97
121b00234080
13c1800663c
1469b728800
153cd40d8e3
hex24d7fa660

9890145888 has 72 divisors (see below), whose sum is σ = 30200281272. Its totient is φ = 2825754624.

The previous prime is 9890145883. The next prime is 9890145901. The reversal of 9890145888 is 8885410989.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9890145883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1046545 + ... + 1055952.

It is an arithmetic number, because the mean of its divisors is an integer number (419448351).

Almost surely, 29890145888 is an apocalyptic number.

9890145888 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

9890145888 is an abundant number, since it is smaller than the sum of its proper divisors (20310135384).

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

9890145888 is a wasteful number, since it uses less digits than its factorization.

9890145888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102524 (or 2102509 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 60.

The square root of 9890145888 is about 99449.2126062343. The cubic root of 9890145888 is about 2146.5165070349.

The spelling of 9890145888 in words is "nine billion, eight hundred ninety million, one hundred forty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 2102497 4204994 6307491 8409988 12614982 14717479 16819976 25229964 29434958 33639952 44152437 50459928 58869916 67279904 88304874 100919856 103022353 117739832 176609748 201839712 206044706 235479664 309067059 353219496 412089412 470959328 618134118 706438992 824178824 1236268236 1412877984 1648357648 2472536472 3296715296 4945072944 9890145888