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1825139712 = 21031154011
BaseRepresentation
bin110110011001001…
…0110110000000000
311201012022201000010
41230302112300000
512214213432322
6501035024520
763141301014
oct15462266000
94635281003
101825139712
11857275530
1242b29b140
13231182a36
1413457c544
15aa37220c
hex6cc96c00

1825139712 has 88 divisors (see below), whose sum is σ = 5307003072. Its totient is φ = 553062400.

The previous prime is 1825139711. The next prime is 1825139713. The reversal of 1825139712 is 2179315281.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1825139711) and next prime (1825139713).

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×18251397122 = 6662269936638885888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1825139711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6787 + ... + 60797.

Almost surely, 21825139712 is an apocalyptic number.

1825139712 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 1825139712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653501536).

1825139712 is an abundant number, since it is smaller than the sum of its proper divisors (3481863360).

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

1825139712 is a wasteful number, since it uses less digits than its factorization.

1825139712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54045 (or 54027 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 1825139712 is about 42721.6539005690. The cubic root of 1825139712 is about 1222.0773780138.

The spelling of 1825139712 in words is "one billion, eight hundred twenty-five million, one hundred thirty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2816 3072 4224 5632 8448 11264 16896 33792 54011 108022 162033 216044 324066 432088 594121 648132 864176 1188242 1296264 1728352 1782363 2376484 2592528 3456704 3564726 4752968 5185056 6913408 7129452 9505936 10370112 13826816 14258904 19011872 20740224 27653632 28517808 38023744 41480448 55307264 57035616 76047488 82960896 114071232 152094976 165921792 228142464 304189952 456284928 608379904 912569856 1825139712