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21034350432 = 2533226710739
BaseRepresentation
bin10011100101101111…
…101011011101100000
32000021220211201022000
4103211233223131200
5321034243203212
613355115044000
71343152012554
oct234557533540
960256751260
1021034350432
118a14384897
1240b0440600
131ca2a81004
141037815864
158319851dc
hex4e5beb760

21034350432 has 96 divisors (see below), whose sum is σ = 61382966400. Its totient is φ = 7007704704.

The previous prime is 21034350373. The next prime is 21034350433. The reversal of 21034350432 is 23405343012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21034350396 and 21034350405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21034350433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1953319 + ... + 1964057.

It is an arithmetic number, because the mean of its divisors is an integer number (639405900).

Almost surely, 221034350432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21034350432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30691483200).

21034350432 is an abundant number, since it is smaller than the sum of its proper divisors (40348615968).

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

21034350432 is a wasteful number, since it uses less digits than its factorization.

21034350432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13025 (or 13011 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 21034350432 its reverse (23405343012), we get a palindrome (44439693444).

The spelling of 21034350432 in words is "twenty-one billion, thirty-four million, three hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2267 4534 6801 9068 10739 13602 18136 20403 21478 27204 32217 36272 40806 42956 54408 61209 64434 72544 81612 85912 96651 108816 122418 128868 163224 171824 193302 217632 244836 257736 289953 326448 343648 386604 489672 515472 579906 652896 773208 979344 1030944 1159812 1546416 1958688 2319624 3092832 4639248 9278496 24345313 48690626 73035939 97381252 146071878 194762504 219107817 292143756 389525008 438215634 584287512 657323451 779050016 876431268 1168575024 1314646902 1752862536 2337150048 2629293804 3505725072 5258587608 7011450144 10517175216 21034350432