Search a number
-
+
2154026898432 = 21039106871
BaseRepresentation
bin11111010110000110000…
…000100001010000000000
321121220220211122000000000
4133112012000201100000
5240242421341222212
64325314000000000
7311423536353003
oct37260600412000
97556824560000
102154026898432
11760577035372
122a956b300000
1312817c192566
1476380d9753a
153b0703971dc
hex1f586021400

2154026898432 has 220 divisors, whose sum is σ = 6458876435616. Its totient is φ = 718002247680.

The previous prime is 2154026898337. The next prime is 2154026898449. The reversal of 2154026898432 is 2348986204512.

2154026898432 is a `hidden beast` number, since 2 + 1 + 540 + 2 + 6 + 8 + 98 + 4 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 19 ways as a sum of consecutive naturals, for example, 20101957 + ... + 20208827.

Almost surely, 22154026898432 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 2154026898432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229438217808).

2154026898432 is an abundant number, since it is smaller than the sum of its proper divisors (4304849537184).

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

2154026898432 is an frugal number, since it uses more digits than its factorization.

2154026898432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106918 (or 106876 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2154026898432 in words is "two trillion, one hundred fifty-four billion, twenty-six million, eight hundred ninety-eight thousand, four hundred thirty-two".