Search a number
-
+
20255403451400 = 23521329350815233
BaseRepresentation
bin1001001101100000101000…
…01000001010010000001000
32122201101201220010010121122
410212300110020022100020
510123331031240421100
6111025112012254412
74160255531364155
oct446602410122010
978641656103548
1020255403451400
1164aa2a52112a7
122331771771408
13b3c0cb980a40
1450051c55322c
15251d5224c985
hex126c1420a408

20255403451400 has 192 divisors, whose sum is σ = 50909249880720. Its totient is φ = 7450501939200.

The previous prime is 20255403451399. The next prime is 20255403451403. The reversal of 20255403451400 is 415430455202.

It can be written as a sum of positive squares in 24 ways, for example, as 19566973924 + 20235836477476 = 139882^2 + 4498426^2 .

It is not an unprimeable number, because it can be changed into a prime (20255403451403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3870703184 + ... + 3870708416.

Almost surely, 220255403451400 is an apocalyptic number.

20255403451400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20255403451400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25454624940360).

20255403451400 is an abundant number, since it is smaller than the sum of its proper divisors (30653846429320).

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

20255403451400 is a wasteful number, since it uses less digits than its factorization.

20255403451400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10636 (or 10627 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 20255403451400 in words is "twenty trillion, two hundred fifty-five billion, four hundred three million, four hundred fifty-one thousand, four hundred".