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12770297820 = 22325723676577
BaseRepresentation
bin10111110010010101…
…10100011111011100
31012221222120100022100
423321022310133130
5202123144012240
65511103445100
7631313511660
oct137112643734
935858510270
1012770297820
115463555845
1225848b6790
131286918157
148920548a0
154eb1cbe30
hex2f92b47dc

12770297820 has 288 divisors, whose sum is σ = 46891772928. Its totient is φ = 2749925376.

The previous prime is 12770297807. The next prime is 12770297831. The reversal of 12770297820 is 2879207721.

It is a super-2 number, since 2×127702978202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1938372 + ... + 1944948.

It is an arithmetic number, because the mean of its divisors is an integer number (162818656).

Almost surely, 212770297820 is an apocalyptic number.

12770297820 is a gapful number since it is divisible by the number (10) 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 12770297820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23445886464).

12770297820 is an abundant number, since it is smaller than the sum of its proper divisors (34121475108).

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

12770297820 is a wasteful number, since it uses less digits than its factorization.

12770297820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6689 (or 6684 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

It can be divided in two parts, 127702 and 97820, that added together give a palindrome (225522).

The spelling of 12770297820 in words is "twelve billion, seven hundred seventy million, two hundred ninety-seven thousand, eight hundred twenty".