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12471600000 = 2735519547
BaseRepresentation
bin10111001110101110…
…11000001110000000
31012012011111220221010
423213113120032000
5201020212200000
65421313400520
7621025564566
oct134727301600
935164456833
1012471600000
11531a990742
122500869140
131239a84c92
148644dda36
154ced78d50
hex2e75d8380

12471600000 has 384 divisors, whose sum is σ = 43665955200. Its totient is φ = 3144960000.

The previous prime is 12471599989. The next prime is 12471600007. The reversal of 12471600000 is 617421.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 12471600000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12471600007) 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, 22799727 + ... + 22800273.

It is an arithmetic number, because the mean of its divisors is an integer number (113713425).

Almost surely, 212471600000 is an apocalyptic number.

12471600000 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 12471600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21832977600).

12471600000 is an abundant number, since it is smaller than the sum of its proper divisors (31194355200).

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

12471600000 is an frugal number, since it uses more digits than its factorization.

12471600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The spelling of 12471600000 in words is "twelve billion, four hundred seventy-one million, six hundred thousand".