Search a number
-
+
98943429328128 = 28327112172982443
BaseRepresentation
bin10110011111110100001111…
…111101010011110100000000
3110222022220021201012012212100
4112133310033331103310000
5100432042120402000003
6550233552310230400
726561266262462550
oct2637641775236400
9428286251165770
1098943429328128
1129587744451200
12b11ba96355400
13432942ca44288
141a60c5d559160
15b68b2b902ba3
hex59fd0ff53d00

98943429328128 has 648 divisors, whose sum is σ = 379446615422784. Its totient is φ = 24187843215360.

The previous prime is 98943429328099. The next prime is 98943429328169. The reversal of 98943429328128 is 82182392434989.

98943429328128 is a `hidden beast` number, since 9 + 8 + 9 + 4 + 34 + 293 + 281 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31684075 + ... + 34666517.

Almost surely, 298943429328128 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 98943429328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189723307711392).

98943429328128 is an abundant number, since it is smaller than the sum of its proper divisors (280503186094656).

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

98943429328128 is a wasteful number, since it uses less digits than its factorization.

98943429328128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982511 (or 2982483 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 98943429328128 in words is "ninety-eight trillion, nine hundred forty-three billion, four hundred twenty-nine million, three hundred twenty-eight thousand, one hundred twenty-eight".