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9890768352 = 253239431083
BaseRepresentation
bin10010011011000100…
…10010010111100000
3221112022020002110210
421031202102113200
5130224014041402
64313241254120
7500050100223
oct111542222740
927468202423
109890768352
114216098723
121b00494340
13c18193a6a
1469b84b5ba
153cd4d306c
hex24d8925e0

9890768352 has 48 divisors (see below), whose sum is σ = 26071960320. Its totient is φ = 3283120512.

The previous prime is 9890768347. The next prime is 9890768353. The reversal of 9890768352 is 2538670989.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 9890768292 and 9890768301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9890768353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192598 + ... + 238485.

It is an arithmetic number, because the mean of its divisors is an integer number (543165840).

Almost surely, 29890768352 is an apocalyptic number.

It is an amenable number.

9890768352 is an abundant number, since it is smaller than the sum of its proper divisors (16181191968).

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

9890768352 is a wasteful number, since it uses less digits than its factorization.

9890768352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431335 (or 431327 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The square root of 9890768352 is about 99452.3421142006. The cubic root of 9890768352 is about 2146.5615384307.

The spelling of 9890768352 in words is "nine billion, eight hundred ninety million, seven hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1434 1912 2868 3824 5736 7648 11472 22944 431083 862166 1293249 1724332 2586498 3448664 5172996 6897328 10345992 13794656 20691984 41383968 103028837 206057674 309086511 412115348 618173022 824230696 1236346044 1648461392 2472692088 3296922784 4945384176 9890768352