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3748073472 = 21234111379
BaseRepresentation
bin1101111101100111…
…0001000000000000
3100200012122212020000
43133121301000000
530134001322342
61415530120000
7161611045623
oct33731610000
910605585200
103748073472
111653765090
12887280000
13479686170
14277ad5dba
1516e0b044c
hexdf671000

3748073472 has 520 divisors, whose sum is σ = 13320531840. Its totient is φ = 1035141120.

The previous prime is 3748073449. The next prime is 3748073473. The reversal of 3748073472 is 2743708473.

3748073472 is a `hidden beast` number, since 37 + 4 + 80 + 73 + 472 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3748073473) 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, 47443929 + ... + 47444007.

Almost surely, 23748073472 is an apocalyptic number.

3748073472 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 3748073472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6660265920).

3748073472 is an abundant number, since it is smaller than the sum of its proper divisors (9572458368).

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

3748073472 is a wasteful number, since it uses less digits than its factorization.

3748073472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 3748073472 is about 61221.5115135195. The cubic root of 3748073472 is about 1553.3501553844.

The spelling of 3748073472 in words is "three billion, seven hundred forty-eight million, seventy-three thousand, four hundred seventy-two".