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18116956672 = 29419292
BaseRepresentation
bin10000110111110110…
…101101001000000000
31201202121020202102021
4100313312231020000
5244100420103142
612153421131224
71210645406443
oct206766551000
951677222367
1018116956672
117757605771
1236173b9b14
131929530209
14c3c19365a
157107ac267
hex437dad200

18116956672 has 60 divisors (see below), whose sum is σ = 37121377986. Its totient is φ = 8828026880.

The previous prime is 18116956651. The next prime is 18116956691. The reversal of 18116956672 is 27665961181.

It can be written as a sum of positive squares in 3 ways, for example, as 1108623616 + 17008333056 = 33296^2 + 130416^2 .

Its product of digits (1088640) is a multiple of the sum of its prime divisors (972).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19501104 + ... + 19502032.

Almost surely, 218116956672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18116956672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18560688993).

18116956672 is an abundant number, since it is smaller than the sum of its proper divisors (19004421314).

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

18116956672 is an frugal number, since it uses more digits than its factorization.

18116956672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 972 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 52.

The spelling of 18116956672 in words is "eighteen billion, one hundred sixteen million, nine hundred fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 929 1312 1858 2624 3716 5248 7432 10496 14864 20992 29728 38089 59456 76178 118912 152356 237824 304712 475648 609424 863041 1218848 1726082 2437696 3452164 4875392 6904328 9750784 13808656 19501568 27617312 35384681 55234624 70769362 110469248 141538724 220938496 283077448 441876992 566154896 1132309792 2264619584 4529239168 9058478336 18116956672