Search a number
-
+
2021198706432 = 2832311391631249
BaseRepresentation
bin11101011010011000110…
…101001011011100000000
321011020001210221201022100
4131122120311023130000
5231103403332101212
64144305330510400
7266012121351633
oct35323065133400
97136053851270
102021198706432
1170a204a82784
1228787b435400
131187a139c749
146db80049c1a
15378990cabdc
hex1d698d4b700

2021198706432 has 432 divisors, whose sum is σ = 6100931200000. Its totient is φ = 642822635520.

The previous prime is 2021198706419. The next prime is 2021198706473. The reversal of 2021198706432 is 2346078911202.

2021198706432 is a `hidden beast` number, since 2 + 0 + 21 + 198 + 7 + 0 + 6 + 432 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1618252944 + ... + 1618254192.

Almost surely, 22021198706432 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 2021198706432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050465600000).

2021198706432 is an abundant number, since it is smaller than the sum of its proper divisors (4079732493568).

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

2021198706432 is a wasteful number, since it uses less digits than its factorization.

2021198706432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2021198706432 in words is "two trillion, twenty-one billion, one hundred ninety-eight million, seven hundred six thousand, four hundred thirty-two".