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19601120016 = 243438892
BaseRepresentation
bin10010010000010100…
…010101101100010000
31212121000222001210000
4102100110111230100
5310120341320031
613001000010000
71262506525332
oct222024255420
955530861700
1019601120016
118349359645
123970460900
131b04b6908a
14d3d333452
1579ac293e6
hex490515b10

19601120016 has 75 divisors (see below), whose sum is σ = 56745919461. Its totient is φ = 6532026624.

The previous prime is 19601119999. The next prime is 19601120017. The reversal of 19601120016 is 61002110691.

The square root of 19601120016 is 140004.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14207686416 + 5393433600 = 119196^2 + 73440^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (19601120017) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5038200 + ... + 5042088.

Almost surely, 219601120016 is an apocalyptic number.

19601120016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19601120016 is the 140004-th square number.

It is an amenable number.

19601120016 is an abundant number, since it is smaller than the sum of its proper divisors (37144799445).

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

19601120016 is an frugal number, since it uses more digits than its factorization.

19601120016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7798 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 19601120016 in words is "nineteen billion, six hundred one million, one hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 3889 7778 11667 15556 23334 31112 35001 46668 62224 70002 93336 105003 140004 186672 210006 280008 315009 420012 560016 630018 840024 1260036 1680048 2520072 5040144 15124321 30248642 45372963 60497284 90745926 120994568 136118889 181491852 241989136 272237778 362983704 408356667 544475556 725967408 816713334 1088951112 1225070001 1633426668 2177902224 2450140002 3266853336 4900280004 6533706672 9800560008 19601120016