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62421421117152 = 25371157223261577
BaseRepresentation
bin11100011000101100111101…
…01000011100111011100000
322012000102121011102020102110
432030112132220130323200
531140203032301222102
6340432001024315320
716101541002015216
oct1614263650347340
9265012534366373
1062421421117152
1118986859996699
127001833772b40
1328aa41268c036
14115b2da2bccb6
15733aced5b86c
hex38c59ea1cee0

62421421117152 has 192 divisors, whose sum is σ = 167972953042944. Its totient is φ = 20291936071680.

The previous prime is 62421421117151. The next prime is 62421421117169. The reversal of 62421421117152 is 25171112412426.

62421421117152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×624214211171524 (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 62421421117152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62421421117151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238504188 + ... + 238765764.

It is an arithmetic number, because the mean of its divisors is an integer number (874859130432).

Almost surely, 262421421117152 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 62421421117152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83986476521472).

62421421117152 is an abundant number, since it is smaller than the sum of its proper divisors (105551531925792).

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

62421421117152 is a wasteful number, since it uses less digits than its factorization.

62421421117152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262041 (or 262033 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

Adding to 62421421117152 its reverse (25171112412426), we get a palindrome (87592533529578).

The spelling of 62421421117152 in words is "sixty-two trillion, four hundred twenty-one billion, four hundred twenty-one million, one hundred seventeen thousand, one hundred fifty-two".