Search a number
-
+
21873396096 = 273218987323
BaseRepresentation
bin10100010111110000…
…011000100110000000
32002110101122122120100
4110113300120212000
5324244042133341
614014250442400
71403020541046
oct242760304600
962411578510
1021873396096
119304a64262
1242a5433400
1320a7855236
1410b7026396
158804713b6
hex517c18980

21873396096 has 48 divisors (see below), whose sum is σ = 62942979060. Its totient is φ = 7291131648.

The previous prime is 21873396067. The next prime is 21873396203. The reversal of 21873396096 is 69069337812.

21873396096 is a `hidden beast` number, since 21 + 8 + 7 + 3 + 3 + 9 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent 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 5 ways as a sum of consecutive naturals, for example, 9492510 + ... + 9494813.

Almost surely, 221873396096 is an apocalyptic number.

It is an amenable number.

21873396096 is an abundant number, since it is smaller than the sum of its proper divisors (41069582964).

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

21873396096 is a wasteful number, since it uses less digits than its factorization.

21873396096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18987343 (or 18987328 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 21873396096 in words is "twenty-one billion, eight hundred seventy-three million, three hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 18987323 37974646 56961969 75949292 113923938 151898584 170885907 227847876 303797168 341771814 455695752 607594336 683543628 911391504 1215188672 1367087256 1822783008 2430377344 2734174512 3645566016 5468349024 7291132032 10936698048 21873396096