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219421043776 = 2611253232
BaseRepresentation
bin1100110001011010000…
…0110110110001000000
3202222100211101221010001
43030112200312301000
512043333241400101
6244444534245344
721565313045614
oct3142640666100
9688324357101
10219421043776
1185068505900
12366377b6854
13178caa8875c
14a89753b344
155a9347c901
hex3316836c40

219421043776 has 63 divisors (see below), whose sum is σ = 478685078823. Its totient is φ = 99718101120.

The previous prime is 219421043771. The next prime is 219421043801. The reversal of 219421043776 is 677340124912.

The square root of 219421043776 is 468424.

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

219421043776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (219421043771) 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, 41218651 + ... + 41223973.

Almost surely, 2219421043776 is an apocalyptic number.

219421043776 is the 468424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219421043776

219421043776 is an abundant number, since it is smaller than the sum of its proper divisors (259264035047).

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

219421043776 is an frugal number, since it uses more digits than its factorization.

219421043776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10680 (or 5336 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 219421043776 in words is "two hundred nineteen billion, four hundred twenty-one million, forty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 5323 7744 10646 21292 42584 58553 85168 117106 170336 234212 340672 468424 644083 936848 1288166 1873696 2576332 3747392 5152664 10305328 20610656 28334329 41221312 56668658 113337316 226674632 311677619 453349264 623355238 906698528 1246710476 1813397056 2493420952 3428453809 4986841904 6856907618 9973683808 13713815236 19947367616 27427630472 54855260944 109710521888 219421043776