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9438137680 = 245414761223
BaseRepresentation
bin10001100101000111…
…01000110101010000
3220100202112001220211
420302203220311100
5123312130401210
64200312013504
7452612563246
oct106243506520
926322461824
109438137680
114003645594
1219b4991294
13b7548586a
146576a6796
153a38c538a
hex2328e8d50

9438137680 has 80 divisors (see below), whose sum is σ = 22957530624. Its totient is φ = 3604751360.

The previous prime is 9438137651. The next prime is 9438137689. The reversal of 9438137680 is 867318349.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9438137689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123549 + ... + 184771.

Almost surely, 29438137680 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 9438137680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11478765312).

9438137680 is an abundant number, since it is smaller than the sum of its proper divisors (13519392944).

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

9438137680 is a wasteful number, since it uses less digits than its factorization.

9438137680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61324 (or 61318 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 9438137680 is about 97150.0781265769. The cubic root of 9438137680 is about 2113.3046215641.

The spelling of 9438137680 in words is "nine billion, four hundred thirty-eight million, one hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 47 80 82 94 164 188 205 235 328 376 410 470 656 752 820 940 1640 1880 1927 3280 3760 3854 7708 9635 15416 19270 30832 38540 61223 77080 122446 154160 244892 306115 489784 612230 979568 1224460 2448920 2510143 2877481 4897840 5020286 5754962 10040572 11509924 12550715 14387405 20081144 23019848 25101430 28774810 40162288 46039696 50202860 57549620 100405720 115099240 117976721 200811440 230198480 235953442 471906884 589883605 943813768 1179767210 1887627536 2359534420 4719068840 9438137680