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9997789040 = 2452334915569
BaseRepresentation
bin10010100111110101…
…00010011101110000
3221210202121022020222
421103322202131300
5130433413222130
64332023152212
7502516543001
oct112372423560
927722538228
109997789040
114270544978
121b302a5668
13c343c5005
146abb491a8
153d7ac2ce5
hex253ea2770

9997789040 has 80 divisors (see below), whose sum is σ = 24326568000. Its totient is φ = 3814035456.

The previous prime is 9997789031. The next prime is 9997789049. The reversal of 9997789040 is 409877999.

9997789040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9997789031) and next prime (9997789049).

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 (9997789049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634376 + ... + 649944.

It is an arithmetic number, because the mean of its divisors is an integer number (304082100).

Almost surely, 29997789040 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 9997789040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12163284000).

9997789040 is an abundant number, since it is smaller than the sum of its proper divisors (14328778960).

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

9997789040 is a wasteful number, since it uses less digits than its factorization.

9997789040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15954 (or 15948 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 62.

The square root of 9997789040 is about 99988.9445888894. The cubic root of 9997789040 is about 2154.2758993646.

The spelling of 9997789040 in words is "nine billion, nine hundred ninety-seven million, seven hundred eighty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 349 368 460 698 920 1396 1745 1840 2792 3490 5584 6980 8027 13960 15569 16054 27920 31138 32108 40135 62276 64216 77845 80270 124552 128432 155690 160540 249104 311380 321080 358087 622760 642160 716174 1245520 1432348 1790435 2864696 3580870 5433581 5729392 7161740 10867162 14323480 21734324 27167905 28646960 43468648 54335810 86937296 108671620 124972363 217343240 249944726 434686480 499889452 624861815 999778904 1249723630 1999557808 2499447260 4998894520 9997789040