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9617769680 = 245793074957
BaseRepresentation
bin10001111010100001…
…11000010011010000
3220211021112022200212
420331100320103100
5124144122112210
64230210103252
7460223456561
oct107520702320
926737468625
109617769680
114095a86792
121a44b7ab28
13ba375b09c
146734a6168
153b4559805
hex23d4384d0

9617769680 has 80 divisors (see below), whose sum is σ = 22722712320. Its totient is φ = 3785273856.

The previous prime is 9617769661. The next prime is 9617769697. The reversal of 9617769680 is 869677169.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1937762 + ... + 1942718.

It is an arithmetic number, because the mean of its divisors is an integer number (284033904).

Almost surely, 29617769680 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 9617769680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11361356160).

9617769680 is an abundant number, since it is smaller than the sum of its proper divisors (13104942640).

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

9617769680 is a wasteful number, since it uses less digits than its factorization.

9617769680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 59.

The square root of 9617769680 is about 98070.2283060461. The cubic root of 9617769680 is about 2126.6276566821.

The spelling of 9617769680 in words is "nine billion, six hundred seventeen million, seven hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 307 316 395 614 632 790 1228 1264 1535 1580 2456 3070 3160 4912 4957 6140 6320 9914 12280 19828 24253 24560 24785 39656 48506 49570 79312 97012 99140 121265 194024 198280 242530 388048 391603 396560 485060 783206 970120 1521799 1566412 1940240 1958015 3043598 3132824 3916030 6087196 6265648 7608995 7832060 12174392 15217990 15664120 24348784 30435980 31328240 60871960 120222121 121743920 240444242 480888484 601110605 961776968 1202221210 1923553936 2404442420 4808884840 9617769680