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6880845312 = 2932112931151
BaseRepresentation
bin1100110100010000…
…10101111000000000
3122202112112011021200
412122020111320000
5103042444022222
63054440221200
7332341135335
oct63210257000
918675464250
106880845312
112a1106aa20
12140046a800
13858716a03
14493bc098c
152a412deac
hex19a215e00

6880845312 has 480 divisors, whose sum is σ = 23287080960. Its totient is φ = 1935360000.

The previous prime is 6880845311. The next prime is 6880845313. The reversal of 6880845312 is 2135480886.

It is an interprime number because it is at equal distance from previous prime (6880845311) and next prime (6880845313).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6880845311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45568437 + ... + 45568587.

It is an arithmetic number, because the mean of its divisors is an integer number (48514752).

Almost surely, 26880845312 is an apocalyptic number.

6880845312 is a gapful number since it is divisible by the number (62) 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 6880845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11643540480).

6880845312 is an abundant number, since it is smaller than the sum of its proper divisors (16406235648).

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

6880845312 is a wasteful number, since it uses less digits than its factorization.

6880845312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 6880845312 is about 82950.8608273597. The cubic root of 6880845312 is about 1902.0149733286.

It can be divided in two parts, 688084 and 5312, that added together give a palindrome (693396).

The spelling of 6880845312 in words is "six billion, eight hundred eighty million, eight hundred forty-five thousand, three hundred twelve".