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9903483025920 = 2932511731035197
BaseRepresentation
bin1001000000011101010110…
…0101100111101000000000
31022001202121202111221220200
42100013111211213220000
52244224313123312140
633021333003205200
72041334353531311
oct220072545475000
938052552457820
109903483025920
113179052a91940
12113b440516800
1356ab82121383
1426348c8cc608
1512292b8b1030
hex901d5967a00

9903483025920 has 960 divisors, whose sum is σ = 38304766266624. Its totient is φ = 2344515010560.

The previous prime is 9903483025907. The next prime is 9903483025939. The reversal of 9903483025920 is 295203843099.

9903483025920 is a `hidden beast` number, since 9 + 9 + 0 + 3 + 48 + 3 + 0 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1905612762 + ... + 1905617958.

Almost surely, 29903483025920 is an apocalyptic number.

9903483025920 is a gapful number since it is divisible by the number (90) 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 9903483025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19152383133312).

9903483025920 is an abundant number, since it is smaller than the sum of its proper divisors (28401283240704).

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

9903483025920 is a wasteful number, since it uses less digits than its factorization.

9903483025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5413 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 9903483025920 in words is "nine trillion, nine hundred three billion, four hundred eighty-three million, twenty-five thousand, nine hundred twenty".