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9901441025 = 52731960773
BaseRepresentation
bin10010011100010110…
…00000000000000001
3221120001022022121222
421032023000000001
5130234232103100
64314302124425
7500236601000
oct111613000001
927501268558
109901441025
114221118213
121b03b80715
13c1a45c858
1469d028c37
153ce3e0485
hex24e2c0001

9901441025 has 48 divisors (see below), whose sum is σ = 15071952000. Its totient is φ = 6432108480.

The previous prime is 9901441003. The next prime is 9901441091. The reversal of 9901441025 is 5201441099.

It is not a de Polignac number, because 9901441025 - 26 = 9901440961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132539 + ... + 193311.

It is an arithmetic number, because the mean of its divisors is an integer number (313999000).

It is a Proth number, since it is equal to 37771 ⋅ 218 + 1 and 37771 < 218.

Almost surely, 29901441025 is an apocalyptic number.

9901441025 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9901441025 is a deficient number, since it is larger than the sum of its proper divisors (5170510975).

9901441025 is a wasteful number, since it uses less digits than its factorization.

9901441025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60823 (or 60804 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 9901441025 is about 99505.9848702579. The cubic root of 9901441025 is about 2147.3333461501. Note that the first 4 decimals are identical.

The spelling of 9901441025 in words is "nine billion, nine hundred one million, four hundred forty-one thousand, twenty-five".

Divisors: 1 5 7 19 25 35 49 95 133 175 245 343 475 665 931 1225 1715 3325 4655 6517 8575 23275 32585 60773 162925 303865 425411 1154687 1519325 2127055 2977877 5773435 8082809 10635275 14889385 20845139 28867175 40414045 56579663 74446925 104225695 202070225 282898315 396057641 521128475 1414491575 1980288205 9901441025