Search a number
-
+
21167345430 = 232571119915349
BaseRepresentation
bin10011101101101011…
…000000111100010110
32000122012002120010200
4103231223000330112
5321322320023210
613420225401330
71346355316230
oct235553007426
960565076120
1021167345430
118a82461a10
124128a99246
131cc44a7a8a
14104b355250
1583d4a60c0
hex4edac0f16

21167345430 has 192 divisors, whose sum is σ = 68964480000. Its totient is φ = 4376021760.

The previous prime is 21167345413. The next prime is 21167345489. The reversal of 21167345430 is 3454376112.

21167345430 is a `hidden beast` number, since 2 + 116 + 73 + 45 + 430 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1371396 + ... + 1386744.

It is an arithmetic number, because the mean of its divisors is an integer number (359190000).

Almost surely, 221167345430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21167345430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34482240000).

21167345430 is an abundant number, since it is smaller than the sum of its proper divisors (47797134570).

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

21167345430 is a wasteful number, since it uses less digits than its factorization.

21167345430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15579 (or 15576 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 21167345430 in words is "twenty-one billion, one hundred sixty-seven million, three hundred forty-five thousand, four hundred thirty".