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30036666240 = 27365717541
BaseRepresentation
bin11011111110010100…
…110010011110000000
32212112022021202000000
4123332110302132000
5443003341304430
621444302000000
72112223310340
oct337624623600
985468252000
1030036666240
1111813a07a09
1259a3276000
132aa8b623b9
14164d270d20
15babe6ce60
hex6fe532780

30036666240 has 896 divisors, whose sum is σ = 130518889920. Its totient is φ = 6449725440.

The previous prime is 30036666229. The next prime is 30036666251. The reversal of 30036666240 is 4266663003.

It is an interprime number because it is at equal distance from previous prime (30036666229) and next prime (30036666251).

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30036666195 and 30036666204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 55520370 + ... + 55520910.

Almost surely, 230036666240 is an apocalyptic number.

30036666240 is a gapful number since it is divisible by the number (30) 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 30036666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65259444960).

30036666240 is an abundant number, since it is smaller than the sum of its proper divisors (100482223680).

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

30036666240 is an equidigital number, since it uses as much as digits as its factorization.

30036666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 30036666240 in words is "thirty billion, thirty-six million, six hundred sixty-six thousand, two hundred forty".