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18339659776 = 216234
BaseRepresentation
bin10001000101001000…
…010000000000000000
31202100010022020122101
4101011020100000000
5300024423103101
612231454320144
71216321351564
oct210510200000
952303266571
1018339659776
117861294919
123679ab9054
1319637060b9
14c5d9a56a4
157250ed401
hex445210000

18339659776 has 85 divisors (see below), whose sum is σ = 38346262831. Its totient is φ = 8771141632.

The previous prime is 18339659773. The next prime is 18339659791. The reversal of 18339659776 is 67795693381.

It is a happy number.

The square root of 18339659776 is 135424.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18339659773) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 797376501 + ... + 797376523.

Almost surely, 218339659776 is an apocalyptic number.

18339659776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18339659776 is the 135424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18339659776

18339659776 is an abundant number, since it is smaller than the sum of its proper divisors (20006603055).

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

18339659776 is an frugal number, since it uses more digits than its factorization.

18339659776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 25 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 64.

Multiplying 18339659776 by its sum of digits (64), we get a square (1173738225664 = 10833922).

18339659776 divided by its sum of digits (64) gives a square (286557184 = 169282).

The spelling of 18339659776 in words is "eighteen billion, three hundred thirty-nine million, six hundred fifty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 529 736 1024 1058 1472 2048 2116 2944 4096 4232 5888 8192 8464 11776 12167 16384 16928 23552 24334 32768 33856 47104 48668 65536 67712 94208 97336 135424 188416 194672 270848 279841 376832 389344 541696 559682 753664 778688 1083392 1119364 1507328 1557376 2166784 2238728 3114752 4333568 4477456 6229504 8667136 8954912 12459008 17334272 17909824 24918016 34668544 35819648 49836032 71639296 99672064 143278592 199344128 286557184 398688256 573114368 797376512 1146228736 2292457472 4584914944 9169829888 18339659776