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18938070720 = 2632517503769
BaseRepresentation
bin10001101000110011…
…000000011011000000
31210212211022200010200
4101220303000123000
5302241121230340
612411112325200
71240205642112
oct215063003300
953784280120
1018938070720
118039057918
1238063a3800
131a2a69660a
14cb92573b2
1575c905330
hex468cc06c0

18938070720 has 336 divisors, whose sum is σ = 69197768640. Its totient is φ = 4737466368.

The previous prime is 18938070689. The next prime is 18938070721. The reversal of 18938070720 is 2707083981.

18938070720 is a `hidden beast` number, since 189 + 380 + 70 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18938070721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24626496 + ... + 24627264.

It is an arithmetic number, because the mean of its divisors is an integer number (205945740).

Almost surely, 218938070720 is an apocalyptic number.

18938070720 is a gapful number since it is divisible by the number (10) 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 18938070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34598884320).

18938070720 is an abundant number, since it is smaller than the sum of its proper divisors (50259697920).

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

18938070720 is a wasteful number, since it uses less digits than its factorization.

18938070720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

It can be divided in two parts, 189380 and 70720, that added together give a square (260100 = 5102).

The spelling of 18938070720 in words is "eighteen billion, nine hundred thirty-eight million, seventy thousand, seven hundred twenty".