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12922506240 = 210357313877
BaseRepresentation
bin11000000100011110…
…11100110000000000
31020100120222100000020
430002033130300000
5202431130144430
65534142053440
7635142330210
oct140217346000
936316870006
1012922506240
115531466226
12260787a280
1312ac30b2c7
148a8356240
15509745b10
hex3023dcc00

12922506240 has 352 divisors, whose sum is σ = 48772706304. Its totient is φ = 2857697280.

The previous prime is 12922506221. The next prime is 12922506241. The reversal of 12922506240 is 4260522921.

12922506240 = T359 + T360 + ... + T4264.

It is not an unprimeable number, because it can be changed into a prime (12922506241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3331182 + ... + 3335058.

Almost surely, 212922506240 is an apocalyptic number.

12922506240 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 12922506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24386353152).

12922506240 is an abundant number, since it is smaller than the sum of its proper divisors (35850200064).

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

12922506240 is a wasteful number, since it uses less digits than its factorization.

12922506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 12922506240 in words is "twelve billion, nine hundred twenty-two million, five hundred six thousand, two hundred forty".