Search a number
-
+
70897582756 = 2274112132192
BaseRepresentation
bin100001000000111010…
…0110100001010100100
320202222222022100221101
41002001310310022210
52130144240122011
652323033125444
75056623340000
oct1020164641244
9222888270841
1070897582756
1128081923300
12118a7559884
1368bb3a5a00
143607d03700
151c9e3112c1
hex1081d342a4

70897582756 has 405 divisors, whose sum is σ = 181818828513. Its totient is φ = 24155651520.

The previous prime is 70897582753. The next prime is 70897582771. The reversal of 70897582756 is 65728579807.

It is a happy number.

The square root of 70897582756 is 266266.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10487808100 + 60409774656 = 102410^2 + 245784^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (70897582753) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 3731451715 + ... + 3731451733.

Almost surely, 270897582756 is an apocalyptic number.

70897582756 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

70897582756 is the 266266-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70897582756

70897582756 is an abundant number, since it is smaller than the sum of its proper divisors (110921245757).

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

70897582756 is a wasteful number, since it uses less digits than its factorization.

70897582756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 64.

Multiplying 70897582756 by its sum of digits (64), we get a square (4537445296384 = 21301282).

The spelling of 70897582756 in words is "seventy billion, eight hundred ninety-seven million, five hundred eighty-two thousand, seven hundred fifty-six".