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9986917376 = 210175631019
BaseRepresentation
bin10010100110100010…
…00100010000000000
3221210000010222010202
421103101010100000
5130423122324001
64330554144332
7502325253122
oct112321042000
927700128122
109986917376
114265399927
121b287220a8
13c32089787
146aa519212
153d6b7696b
hex253444400

9986917376 has 88 divisors (see below), whose sum is σ = 21196766880. Its totient is φ = 4686774272.

The previous prime is 9986917363. The next prime is 9986917379. The reversal of 9986917376 is 6737196899.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9986917379) 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, 9800195 + ... + 9801213.

Almost surely, 29986917376 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 9986917376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10598383440).

9986917376 is an abundant number, since it is smaller than the sum of its proper divisors (11209849504).

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

9986917376 is a wasteful number, since it uses less digits than its factorization.

9986917376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1601 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 65.

The square root of 9986917376 is about 99934.5654716125. The cubic root of 9986917376 is about 2153.4947580540.

The spelling of 9986917376 in words is "nine billion, nine hundred eighty-six million, nine hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 563 1019 1024 1088 1126 2038 2176 2252 4076 4352 4504 8152 8704 9008 9571 16304 17323 17408 18016 19142 32608 34646 36032 38284 65216 69292 72064 76568 130432 138584 144128 153136 260864 277168 288256 306272 521728 554336 573697 576512 612544 1043456 1108672 1147394 1225088 2217344 2294788 2450176 4434688 4589576 4900352 8869376 9179152 9752849 9800704 17738752 18358304 19505698 36716608 39011396 73433216 78022792 146866432 156045584 293732864 312091168 587465728 624182336 1248364672 2496729344 4993458688 9986917376