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30171690000 = 2434541932
BaseRepresentation
bin11100000110010111…
…110111010000010000
32212212201100122210000
4130012113313100100
5443242423040000
621505524010000
72115453063534
oct340627672020
985781318700
1030171690000
11118831502a1
125a20530900
132acab1970a
14166317bbc4
15bb8c40000
hex7065f7410

30171690000 has 375 divisors, whose sum is σ = 109690429233. Its totient is φ = 8004096000.

The previous prime is 30171689983. The next prime is 30171690023. The reversal of 30171690000 is 9617103.

The square root of 30171690000 is 173700.

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

It can be written as a sum of positive squares in 7 ways, for example, as 28592104464 + 1579585536 = 169092^2 + 39744^2 .

It is a tau number, because it is divible by the number of its divisors (375).

It is a super-2 number, since 2×301716900002 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 156329904 + ... + 156330096.

Almost surely, 230171690000 is an apocalyptic number.

30171690000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30171690000 is the 173700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30171690000

30171690000 is an abundant number, since it is smaller than the sum of its proper divisors (79518739233).

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

30171690000 is an frugal number, since it uses more digits than its factorization.

30171690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The spelling of 30171690000 in words is "thirty billion, one hundred seventy-one million, six hundred ninety thousand".