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9951663104 = 210591271297
BaseRepresentation
bin10010100010010101…
…00101010000000000
3221200112210212100222
421101022211100000
5130340111204404
64323254402212
7501416512025
oct112112452000
927615725328
109951663104
1142474aa869
121b18960368
13c27995066
146a597d54c
153d3a10dbe
hex2512a5400

9951663104 has 88 divisors (see below), whose sum is σ = 20405806080. Its totient is φ = 4849238016.

The previous prime is 9951663097. The next prime is 9951663107. The reversal of 9951663104 is 4013661599.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9951663107) 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, 7672184 + ... + 7673480.

It is an arithmetic number, because the mean of its divisors is an integer number (231884160).

Almost surely, 29951663104 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 9951663104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10202903040).

9951663104 is an abundant number, since it is smaller than the sum of its proper divisors (10454142976).

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

9951663104 is a wasteful number, since it uses less digits than its factorization.

9951663104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 44.

The square root of 9951663104 is about 99758.0227550647. The cubic root of 9951663104 is about 2150.9577924001.

The spelling of 9951663104 in words is "nine billion, nine hundred fifty-one million, six hundred sixty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 59 64 118 127 128 236 254 256 472 508 512 944 1016 1024 1297 1888 2032 2594 3776 4064 5188 7493 7552 8128 10376 14986 15104 16256 20752 29972 30208 32512 41504 59944 60416 65024 76523 83008 119888 130048 153046 164719 166016 239776 306092 329438 332032 479552 612184 658876 664064 959104 1224368 1317752 1328128 1918208 2448736 2635504 3836416 4897472 5271008 7672832 9718421 9794944 10542016 19436842 19589888 21084032 38873684 39179776 42168064 77747368 78359552 84336128 155494736 168672256 310989472 621978944 1243957888 2487915776 4975831552 9951663104