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21389384192 = 29118345757
BaseRepresentation
bin10011111010111010…
…000001101000000000
32001012122220022001112
4103322322001220000
5322301140243232
613454240422452
71355022523451
oct237272015000
961178808045
1021389384192
119086827a20
12418b317a28
13202b4aa467
14106ca33128
15852c154b2
hex4fae81a00

21389384192 has 80 divisors (see below), whose sum is σ = 47184917472. Its totient is φ = 9605099520.

The previous prime is 21389384171. The next prime is 21389384227. The reversal of 21389384192 is 29148398312.

It is a super-2 number, since 2×213893841922 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21389384192.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444578 + ... + 490334.

Almost surely, 221389384192 is an apocalyptic number.

21389384192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21389384192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23592458736).

21389384192 is an abundant number, since it is smaller than the sum of its proper divisors (25795533280).

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

21389384192 is an equidigital number, since it uses as much as digits as its factorization.

21389384192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45869 (or 45853 counting only the distinct ones).

The product of its digits is 746496, while the sum is 50.

The spelling of 21389384192 in words is "twenty-one billion, three hundred eighty-nine million, three hundred eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 128 166 176 256 332 352 512 664 704 913 1328 1408 1826 2656 2816 3652 5312 5632 7304 10624 14608 21248 29216 42496 45757 58432 91514 116864 183028 233728 366056 467456 503327 732112 1006654 1464224 2013308 2928448 3797831 4026616 5856896 7595662 8053232 11713792 15191324 16106464 23427584 30382648 32212928 41776141 60765296 64425856 83552282 121530592 128851712 167104564 243061184 257703424 334209128 486122368 668418256 972244736 1336836512 1944489472 2673673024 5347346048 10694692096 21389384192