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18995454976 = 210592732
BaseRepresentation
bin10001101100001101…
…111010010000000000
31211000211022002112111
4101230031322100000
5302400314024401
612420522305104
71241503463131
oct215415722000
954024262474
1018995454976
118068491523
123821658194
131a39538ab4
14cc2b13c88
1576298ce51
hex46c37a400

18995454976 has 99 divisors (see below), whose sum is σ = 39163251081. Its totient is φ = 9208848384.

The previous prime is 18995454943. The next prime is 18995455009. The reversal of 18995454976 is 67945459981.

The square root of 18995454976 is 137824.

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

It is an interprime number because it is at equal distance from previous prime (18995454943) and next prime (18995455009).

It can be written as a sum of positive squares in only one way, i.e., 10782745600 + 8212709376 = 103840^2 + 90624^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 260211676 + ... + 260211748.

Almost surely, 218995454976 is an apocalyptic number.

18995454976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18995454976 is the 137824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18995454976

18995454976 is an abundant number, since it is smaller than the sum of its proper divisors (20167796105).

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

18995454976 is an frugal number, since it uses more digits than its factorization.

18995454976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 134 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 67.

The spelling of 18995454976 in words is "eighteen billion, nine hundred ninety-five million, four hundred fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 59 64 73 118 128 146 236 256 292 472 512 584 944 1024 1168 1888 2336 3481 3776 4307 4672 5329 6962 7552 8614 9344 10658 13924 15104 17228 18688 21316 27848 30208 34456 37376 42632 55696 60416 68912 74752 85264 111392 137824 170528 222784 254113 275648 314411 341056 445568 508226 551296 628822 682112 891136 1016452 1102592 1257644 1364224 1782272 2032904 2205184 2515288 2728448 3564544 4065808 4410368 5030576 5456896 8131616 10061152 16263232 18550249 20122304 32526464 37100498 40244608 65052928 74200996 80489216 130105856 148401992 160978432 260211712 296803984 321956864 593607968 1187215936 2374431872 4748863744 9497727488 18995454976