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12470474160 = 2432531267269
BaseRepresentation
bin10111001110100110…
…00101010110110000
31012012002101201120100
423213103011112300
5201014420133120
65421233312400
7621013165344
oct134723052660
935162351510
1012470474160
11531a2918a1
122500405700
13123977c6c1
148642c9624
154cec05490
hex2e74c55b0

12470474160 has 360 divisors, whose sum is σ = 44083718640. Its totient is φ = 3158369280.

The previous prime is 12470474147. The next prime is 12470474173. The reversal of 12470474160 is 6147407421.

It is a happy number.

12470474160 is a `hidden beast` number, since 1 + 24 + 7 + 0 + 474 + 160 = 666.

12470474160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12470474147) and next prime (12470474173).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46358506 + ... + 46358774.

It is an arithmetic number, because the mean of its divisors is an integer number (122454774).

Almost surely, 212470474160 is an apocalyptic number.

12470474160 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 12470474160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22041859320).

12470474160 is an abundant number, since it is smaller than the sum of its proper divisors (31613244480).

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

12470474160 is a wasteful number, since it uses less digits than its factorization.

12470474160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 12470474160 in words is "twelve billion, four hundred seventy million, four hundred seventy-four thousand, one hundred sixty".