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12928753320 = 23357292691973
BaseRepresentation
bin11000000101001110…
…10001111010101000
31020101000201201101120
430002213101322220
5202434230101240
65534524015240
7635246406240
oct140247217250
936330651346
1012928753320
115534a427aa
122609991520
1312b06b78c2
148a9100b20
1550a07bad0
hex3029d1ea8

12928753320 has 256 divisors, whose sum is σ = 46049472000. Its totient is φ = 2841194496.

The previous prime is 12928753309. The next prime is 12928753381. The reversal of 12928753320 is 2335782921.

It is a super-2 number, since 2×129287533202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6551854 + ... + 6553826.

It is an arithmetic number, because the mean of its divisors is an integer number (179880750).

Almost surely, 212928753320 is an apocalyptic number.

12928753320 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 12928753320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23024736000).

12928753320 is an abundant number, since it is smaller than the sum of its proper divisors (33120718680).

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

12928753320 is a wasteful number, since it uses less digits than its factorization.

12928753320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 12928753320 in words is "twelve billion, nine hundred twenty-eight million, seven hundred fifty-three thousand, three hundred twenty".