Search a number
-
+
19330872026400 = 253352111723251829
BaseRepresentation
bin1000110010100110100011…
…10000101010010100100000
32112110000100201010112122000
410121103101300222110200
510013204111214321100
6105040251403244000
74033416013054134
oct431232160522440
975400321115560
1019330872026400
1161831a4338850
122202551b19600
13aa2b7ca8ca4c
144ab8951193c4
15237c9125a900
hex1194d1c2a520

19330872026400 has 2304 divisors, whose sum is σ = 84704378572800. Its totient is φ = 4196966400000.

The previous prime is 19330872026341. The next prime is 19330872026413. The reversal of 19330872026400 is 462027803391.

19330872026400 is a `hidden beast` number, since 1 + 9 + 3 + 30 + 8 + 7 + 202 + 6 + 400 = 666.

It is a super-2 number, since 2×193308720264002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23318301186 + ... + 23318302014.

It is an arithmetic number, because the mean of its divisors is an integer number (36764053200).

Almost surely, 219330872026400 is an apocalyptic number.

19330872026400 is a gapful number since it is divisible by the number (10) 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 19330872026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42352189286400).

19330872026400 is an abundant number, since it is smaller than the sum of its proper divisors (65373506546400).

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

19330872026400 is a wasteful number, since it uses less digits than its factorization.

19330872026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

Adding to 19330872026400 its reverse (462027803391), we get a palindrome (19792899829791).

The spelling of 19330872026400 in words is "nineteen trillion, three hundred thirty billion, eight hundred seventy-two million, twenty-six thousand, four hundred".