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3995177472 = 293311134347
BaseRepresentation
bin1110111000100001…
…1001001000000000
3101022102122001012000
43232020121020000
531140231134342
61500234304000
7201001306506
oct35610311000
911272561160
103995177472
11177019aa70
12935b88000
134b8923650
1429c85a676
15185b2144c
hexee219200

3995177472 has 640 divisors, whose sum is σ = 14519070720. Its totient is φ = 1068318720.

The previous prime is 3995177467. The next prime is 3995177491. The reversal of 3995177472 is 2747715993.

It is a super-2 number, since 2×39951774722 = 31922886065552621568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85003753 + ... + 85003799.

It is an arithmetic number, because the mean of its divisors is an integer number (22686048).

Almost surely, 23995177472 is an apocalyptic number.

3995177472 is a gapful number since it is divisible by the number (32) 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 3995177472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7259535360).

3995177472 is an abundant number, since it is smaller than the sum of its proper divisors (10523893248).

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

3995177472 is a wasteful number, since it uses less digits than its factorization.

3995177472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 54.

The square root of 3995177472 is about 63207.4162737253. The cubic root of 3995177472 is about 1586.7628549208.

The spelling of 3995177472 in words is "three billion, nine hundred ninety-five million, one hundred seventy-seven thousand, four hundred seventy-two".