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1207145472 = 210313167181
BaseRepresentation
bin100011111110011…
…1001010000000000
310010010110100021120
41013330321100000
54433012123342
6315441152240
741625365361
oct10774712000
93103410246
101207145472
1156a447295
1229832b680
13163126980
14b646db68
1570e9caec
hex47f39400

1207145472 has 176 divisors, whose sum is σ = 3504988032. Its totient is φ = 367165440.

The previous prime is 1207145453. The next prime is 1207145519. The reversal of 1207145472 is 2745417021.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6669222 + ... + 6669402.

Almost surely, 21207145472 is an apocalyptic number.

1207145472 is a gapful number since it is divisible by the number (12) 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 1207145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752494016).

1207145472 is an abundant number, since it is smaller than the sum of its proper divisors (2297842560).

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

1207145472 is a wasteful number, since it uses less digits than its factorization.

1207145472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 1207145472 is about 34743.9990789777. Note that the first 3 decimals coincide. The cubic root of 1207145472 is about 1064.7636178853.

The spelling of 1207145472 in words is "one billion, two hundred seven million, one hundred forty-five thousand, four hundred seventy-two".