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18645950848 = 277130315971
BaseRepresentation
bin10001010111011000…
…101010000110000000
31210010110122110000011
4101113120222012000
5301141330411343
612322115234304
71230030652510
oct212730520600
953113573004
1018645950848
1179a9175938
1237445a8994
1319b1cc7515
14c8c535840
15741e5129d
hex45762a180

18645950848 has 64 divisors (see below), whose sum is σ = 42488075520. Its totient is φ = 7984488960.

The previous prime is 18645950837. The next prime is 18645950879. The reversal of 18645950848 is 84805954681.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 18645950792 and 18645950801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1159503 + ... + 1175473.

It is an arithmetic number, because the mean of its divisors is an integer number (663876180).

Almost surely, 218645950848 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 18645950848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21244037760).

18645950848 is an abundant number, since it is smaller than the sum of its proper divisors (23842124672).

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

18645950848 is a wasteful number, since it uses less digits than its factorization.

18645950848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17295 (or 17283 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 58.

The spelling of 18645950848 in words is "eighteen billion, six hundred forty-five million, nine hundred fifty thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1303 2606 5212 9121 10424 15971 18242 20848 31942 36484 41696 63884 72968 83392 111797 127768 145936 166784 223594 255536 291872 447188 511072 583744 894376 1022144 1167488 1788752 2044288 3577504 7155008 14310016 20810213 41620426 83240852 145671491 166481704 291342982 332963408 582685964 665926816 1165371928 1331853632 2330743856 2663707264 4661487712 9322975424 18645950848