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1381825536 = 21037134943
BaseRepresentation
bin101001001011100…
…1111110000000000
310120022011000021120
41102113033300000
510312221404121
6345041152240
746146215610
oct12227176000
93508130246
101381825536
1164a005a83
1232692b680
13190387260
14d1740a40
15814a4bc6
hex525cfc00

1381825536 has 176 divisors, whose sum is σ = 4533924864. Its totient is φ = 364363776.

The previous prime is 1381825517. The next prime is 1381825561. The reversal of 1381825536 is 6355281831.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 277081 + ... + 282023.

Almost surely, 21381825536 is an apocalyptic number.

1381825536 is a gapful number since it is divisible by the number (16) 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 1381825536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266962432).

1381825536 is an abundant number, since it is smaller than the sum of its proper divisors (3152099328).

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

1381825536 is a wasteful number, since it uses less digits than its factorization.

1381825536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4986 (or 4968 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 1381825536 is about 37172.9140100692. The cubic root of 1381825536 is about 1113.8269916456.

The spelling of 1381825536 in words is "one billion, three hundred eighty-one million, eight hundred twenty-five thousand, five hundred thirty-six".