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18948317540 = 2252981140283
BaseRepresentation
bin10001101001011010…
…000110000101100100
31210220112121021010112
4101221122012011210
5302301232130130
612412120112152
71240362020165
oct215132060544
953815537115
1018948317540
118043916469
123809905658
131a2c843619
14cba76376c
1575d77b495
hex469686164

18948317540 has 48 divisors (see below), whose sum is σ = 41215366080. Its totient is φ = 7308766080.

The previous prime is 18948317527. The next prime is 18948317543. The reversal of 18948317540 is 4571384981.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (18948317543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450239 + ... + 490521.

It is an arithmetic number, because the mean of its divisors is an integer number (858653460).

Almost surely, 218948317540 is an apocalyptic number.

18948317540 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 18948317540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20607683040).

18948317540 is an abundant number, since it is smaller than the sum of its proper divisors (22267048540).

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

18948317540 is a wasteful number, since it uses less digits than its factorization.

18948317540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41132 (or 41130 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 18948317540 in words is "eighteen billion, nine hundred forty-eight million, three hundred seventeen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 811 1622 3244 4055 8110 16220 23519 40283 47038 80566 94076 117595 161132 201415 235190 402830 470380 805660 1168207 2336414 4672828 5841035 11682070 23364140 32669513 65339026 130678052 163347565 326695130 653390260 947415877 1894831754 3789663508 4737079385 9474158770 18948317540