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1052445629928 = 23371124161127163
BaseRepresentation
bin11110101000010101010…
…01011101110111101000
310201121112202010110200010
433110022221131313220
5114220402040124203
62123253054211520
7136015404152130
oct17241251356750
93647482113603
101052445629928
11376381136a00
1214bb79ab3ba0
137832590c464
1438d1d8b3ac0
151c59ab97303
hexf50aa5dde8

1052445629928 has 768 divisors, whose sum is σ = 3489696645120. Its totient is φ = 258660864000.

The previous prime is 1052445629909. The next prime is 1052445629971. The reversal of 1052445629928 is 8299265442501.

It is a super-2 number, since 2×10524456299282 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6456721575 + ... + 6456721737.

It is an arithmetic number, because the mean of its divisors is an integer number (4543875840).

Almost surely, 21052445629928 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 1052445629928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744848322560).

1052445629928 is an abundant number, since it is smaller than the sum of its proper divisors (2437251015192).

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

1052445629928 is a wasteful number, since it uses less digits than its factorization.

1052445629928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 1052445629928 in words is "one trillion, fifty-two billion, four hundred forty-five million, six hundred twenty-nine thousand, nine hundred twenty-eight".