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18738324544 = 267122412
BaseRepresentation
bin10001011100111001…
…000010010001000000
31210100220110111220011
4101130321002101000
5301334002341134
612335215154304
71232232062542
oct213471022100
953326414804
1018738324544
117a46328635
12376b515994
1319c819aa04
14c9a8dd692
1574a0eb264
hex45ce42440

18738324544 has 63 divisors (see below), whose sum is σ = 37872098373. Its totient is φ = 9198873600.

The previous prime is 18738324523. The next prime is 18738324551. The reversal of 18738324544 is 44542383781.

The square root of 18738324544 is 136888.

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

It can be written as a sum of positive squares in only one way, i.e., 14092538944 + 4645785600 = 118712^2 + 68160^2 .

It is a super-2 number, since 2×187383245442 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 77752264 + ... + 77752504.

Almost surely, 218738324544 is an apocalyptic number.

18738324544 is the 136888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18738324544

18738324544 is an abundant number, since it is smaller than the sum of its proper divisors (19133773829).

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

18738324544 is an frugal number, since it uses more digits than its factorization.

18738324544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 314 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 49.

Multiplying 18738324544 by its sum of digits (49), we get a square (918177902656 = 9582162).

The spelling of 18738324544 in words is "eighteen billion, seven hundred thirty-eight million, three hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 71 142 241 284 482 568 964 1136 1928 2272 3856 4544 5041 7712 10082 15424 17111 20164 34222 40328 58081 68444 80656 116162 136888 161312 232324 273776 322624 464648 547552 929296 1095104 1214881 1858592 2429762 3717184 4123751 4859524 8247502 9719048 16495004 19438096 32990008 38876192 65980016 77752384 131960032 263920064 292786321 585572642 1171145284 2342290568 4684581136 9369162272 18738324544