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9830054272 = 27238937517
BaseRepresentation
bin10010010011110101…
…01011100110000000
3221101001222111102011
421021322223212000
5130112443214042
64303232102304
7465412040233
oct111172534600
927331874364
109830054272
11419489a2a5
121aa4094994
13c08726a7c
1469376541a
153c7edda17
hex249eab980

9830054272 has 64 divisors (see below), whose sum is σ = 20664914400. Its totient is φ = 4648382464.

The previous prime is 9830054257. The next prime is 9830054321. The reversal of 9830054272 is 2724500389.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243258 + ... + 280774.

Almost surely, 29830054272 is an apocalyptic number.

9830054272 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9830054272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10332457200).

9830054272 is an abundant number, since it is smaller than the sum of its proper divisors (10834860128).

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

9830054272 is a wasteful number, since it uses less digits than its factorization.

9830054272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37643 (or 37631 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 9830054272 is about 99146.6301595773. The cubic root of 9830054272 is about 2142.1603269352.

The spelling of 9830054272 in words is "nine billion, eight hundred thirty million, fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 128 178 184 356 368 712 736 1424 1472 2047 2848 2944 4094 5696 8188 11392 16376 32752 37517 65504 75034 131008 150068 262016 300136 600272 862891 1200544 1725782 2401088 3339013 3451564 4802176 6678026 6903128 13356052 13806256 26712104 27612512 53424208 55225024 76797299 106848416 110450048 153594598 213696832 307189196 427393664 614378392 1228756784 2457513568 4915027136 9830054272