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1372505472 = 27341317599
BaseRepresentation
bin101000111001110…
…1100010110000000
310112122121111120000
41101303230112000
510302330133342
6344105320000
746004050452
oct12163542600
93478544500
101372505472
1164481a748
12323796000
1318b473020
14d03d62d2
158076344c
hex51cec580

1372505472 has 320 divisors, whose sum is σ = 4665276000. Its totient is φ = 396804096.

The previous prime is 1372505447. The next prime is 1372505479. The reversal of 1372505472 is 2745052731.

1372505472 is a `hidden beast` number, since 13 + 72 + 505 + 4 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1372505479) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2291029 + ... + 2291627.

Almost surely, 21372505472 is an apocalyptic number.

1372505472 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 1372505472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332638000).

1372505472 is an abundant number, since it is smaller than the sum of its proper divisors (3292770528).

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

1372505472 is a wasteful number, since it uses less digits than its factorization.

1372505472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 1372505472 is about 37047.3409572131. The cubic root of 1372505472 is about 1111.3171799604.

The spelling of 1372505472 in words is "one billion, three hundred seventy-two million, five hundred five thousand, four hundred seventy-two".