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12570329088 = 2223437
BaseRepresentation
bin10111011010100000…
…00000000000000000
31012110001021212210000
423231100000000000
5201221001012323
65435201440000
7623335014522
oct135520000000
935401255700
1012570329088
115370694329
122529940000
131254372165
1487367da12
154d887be43
hex2ed400000

12570329088 has 230 divisors, whose sum is σ = 38570814986. Its totient is φ = 4076863488.

The previous prime is 12570329087. The next prime is 12570329129. The reversal of 12570329088 is 88092307521.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 12230590464 + 339738624 = 110592^2 + 18432^2 .

It is a super-4 number, since 4×125703290884 (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12570329087) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 339738606 + ... + 339738642.

Almost surely, 212570329088 is an apocalyptic number.

12570329088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12570329088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19285407493).

12570329088 is an abundant number, since it is smaller than the sum of its proper divisors (26000485898).

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

12570329088 is an frugal number, since it uses more digits than its factorization.

12570329088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12570329088 in words is "twelve billion, five hundred seventy million, three hundred twenty-nine thousand, eighty-eight".