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3744813969 = 3213178717911
BaseRepresentation
bin1101111100110101…
…0101001110010001
3100122222112021000200
43133031111032101
530132133021334
61415332205413
7161541251661
oct33715251621
910588467020
103744813969
111651939186
12886169869
13478ab4670
142774c81a1
1516db69799
hexdf355391

3744813969 has 24 divisors (see below), whose sum is σ = 5828851392. Its totient is φ = 2303082720.

The previous prime is 3744813967. The next prime is 3744813983. The reversal of 3744813969 is 9693184473.

It is a happy number.

3744813969 is a `hidden beast` number, since 3 + 7 + 448 + 139 + 69 = 666.

It is not a de Polignac number, because 3744813969 - 21 = 3744813967 is a prime.

It is a super-2 number, since 2×37448139692 = 28047263324835065922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3744813967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200124 + ... + 218034.

It is an arithmetic number, because the mean of its divisors is an integer number (242868808).

Almost surely, 23744813969 is an apocalyptic number.

3744813969 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3744813969 is a deficient number, since it is larger than the sum of its proper divisors (2084037423).

3744813969 is a wasteful number, since it uses less digits than its factorization.

3744813969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19717 (or 19714 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 3744813969 is about 61194.8851539081. The cubic root of 3744813969 is about 1552.8997357260.

The spelling of 3744813969 in words is "three billion, seven hundred forty-four million, eight hundred thirteen thousand, nine hundred sixty-nine".

Divisors: 1 3 9 13 39 117 1787 5361 16083 17911 23231 53733 69693 161199 209079 232843 698529 2095587 32006957 96020871 288062613 416090441 1248271323 3744813969