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19048416256 = 2101922272
BaseRepresentation
bin10001101111010111…
…111100010000000000
31211011111221210202101
4101233113330100000
5303002343310011
612430053400144
71243015603162
oct215727742000
954144853671
1019048416256
118095375081
123837339054
131a474c002c
14cc9b7c932
157674502c1
hex46f5fc400

19048416256 has 99 divisors (see below), whose sum is σ = 40365646599. Its totient is φ = 8983185408.

The previous prime is 19048416251. The next prime is 19048416269. The reversal of 19048416256 is 65261484091.

It is a happy number.

The square root of 19048416256 is 138016.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19048416251) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 83913615 + ... + 83913841.

Almost surely, 219048416256 is an apocalyptic number.

19048416256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19048416256 is the 138016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19048416256

19048416256 is an abundant number, since it is smaller than the sum of its proper divisors (21317230343).

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

19048416256 is an frugal number, since it uses more digits than its factorization.

19048416256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 19048416256 in words is "nineteen billion, forty-eight million, four hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 227 256 304 361 454 512 608 722 908 1024 1216 1444 1816 2432 2888 3632 4313 4864 5776 7264 8626 9728 11552 14528 17252 19456 23104 29056 34504 46208 51529 58112 69008 81947 92416 103058 116224 138016 163894 184832 206116 232448 276032 327788 369664 412232 552064 655576 824464 979051 1104128 1311152 1648928 1958102 2208256 2622304 3297856 3916204 4416512 5244608 6595712 7832408 10489216 13191424 15664816 18601969 20978432 26382848 31329632 37203938 41956864 52765696 62659264 74407876 83913728 125318528 148815752 250637056 297631504 501274112 595263008 1002548224 1190526016 2381052032 4762104064 9524208128 19048416256