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70148852928 = 26337113714249
BaseRepresentation
bin100000101010100110…
…0101000110011000000
320201001210102221201000
41001111030220303000
52122131101243203
652120445212000
75032232261130
oct1012514506300
9221053387630
1070148852928
1127828220520
1211718861000
1367cc2343cb
1435766c2ac0
151c587154a3
hex1055328cc0

70148852928 has 448 divisors, whose sum is σ = 264078720000. Its totient is φ = 17726791680.

The previous prime is 70148852911. The next prime is 70148852957. The reversal of 70148852928 is 82925884107.

70148852928 is a `hidden beast` number, since 7 + 0 + 14 + 88 + 529 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×701488529282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4915948 + ... + 4930196.

Almost surely, 270148852928 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 70148852928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132039360000).

70148852928 is an abundant number, since it is smaller than the sum of its proper divisors (193929867072).

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

70148852928 is a wasteful number, since it uses less digits than its factorization.

70148852928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14325 (or 14309 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 70148852928 in words is "seventy billion, one hundred forty-eight million, eight hundred fifty-two thousand, nine hundred twenty-eight".