Search a number
-
+
52070175695824 = 241121322941137977
BaseRepresentation
bin10111101011011100010000…
…10100110110001111010000
320211100212020001221211100021
423311232020110312033100
523311104204434231244
6302424413011033224
713652642331456436
oct1365561024661720
9224325201854307
1052070175695824
1115655923793900
125a0b67059b814
132309272929700
14cc02d2166d56
156046e88a6284
hex2f5b885363d0

52070175695824 has 720 divisors, whose sum is σ = 128307756371760. Its totient is φ = 20408637849600.

The previous prime is 52070175695807. The next prime is 52070175695831. The reversal of 52070175695824 is 42859657107025.

It is a happy number.

52070175695824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 42892911335824 + 9177264360000 = 6549268^2 + 3029400^2 .

It is a super-4 number, since 4×520701756958244 (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 53295982824 + ... + 53295983800.

It is an arithmetic number, because the mean of its divisors is an integer number (178205217183).

Almost surely, 252070175695824 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 52070175695824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64153878185880).

52070175695824 is an abundant number, since it is smaller than the sum of its proper divisors (76237580675936).

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

52070175695824 is a wasteful number, since it uses less digits than its factorization.

52070175695824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 61.

The spelling of 52070175695824 in words is "fifty-two trillion, seventy billion, one hundred seventy-five million, six hundred ninety-five thousand, eight hundred twenty-four".