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9963438080 = 217523661
BaseRepresentation
bin10010100011101111…
…00000000000000000
3221201100222002121012
421101313200000000
5130401120004310
64324355020052
7501621553301
oct112167400000
927640862535
109963438080
114253112552
121b2089a628
13c2a2587bb
146a73667a8
153d4a89c05
hex251de0000

9963438080 has 144 divisors (see below), whose sum is σ = 24989567904. Its totient is φ = 3806330880.

The previous prime is 9963438071. The next prime is 9963438083. The reversal of 9963438080 is 808343699.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9963438083) 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, 15072950 + ... + 15073610.

It is an arithmetic number, because the mean of its divisors is an integer number (173538666).

Almost surely, 29963438080 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 9963438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12494783952).

9963438080 is an abundant number, since it is smaller than the sum of its proper divisors (15026129824).

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

9963438080 is an frugal number, since it uses more digits than its factorization.

9963438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

The square root of 9963438080 is about 99817.0229970820. The cubic root of 9963438080 is about 2151.8058078986.

The spelling of 9963438080 in words is "nine billion, nine hundred sixty-three million, four hundred thirty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 512 640 661 736 920 1024 1280 1322 1472 1840 2048 2560 2644 2944 3305 3680 4096 5120 5288 5888 6610 7360 8192 10240 10576 11776 13220 14720 15203 16384 20480 21152 23552 26440 29440 30406 32768 40960 42304 47104 52880 58880 60812 65536 76015 81920 84608 94208 105760 117760 121624 131072 152030 163840 169216 188416 211520 235520 243248 304060 327680 338432 376832 423040 471040 486496 608120 655360 676864 753664 846080 942080 972992 1216240 1353728 1507328 1692160 1884160 1945984 2432480 2707456 3014656 3384320 3768320 3891968 4864960 5414912 6768640 7536640 7783936 9729920 10829824 13537280 15073280 15567872 19459840 21659648 27074560 31135744 38919680 43319296 54149120 62271488 77839360 86638592 108298240 124542976 155678720 216596480 249085952 311357440 433192960 498171904 622714880 996343808 1245429760 1992687616 2490859520 4981719040 9963438080