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3720146049 = 3102512
BaseRepresentation
bin1101110110111100…
…1110110010000001
3100121021010000000000
43131233032302001
530104324133144
61413051350213
7161121501564
oct33557166201
910537100000
103720146049
111639a1a874
12879a52369
13473958669
142741064db
1516b8e5769
hexddbcec81

3720146049 has 33 divisors (see below), whose sum is σ = 5602507969. Its totient is φ = 2470216500.

The previous prime is 3720146009. The next prime is 3720146077. The reversal of 3720146049 is 9406410273.

The square root of 3720146049 is 60993.

It is a perfect power (a square), and thus also a powerful number.

3720146049 is a `hidden beast` number, since 37 + 2 + 0 + 14 + 604 + 9 = 666.

It is a de Polignac number, because none of the positive numbers 2k-3720146049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3720146009) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 14821174 + ... + 14821424.

Almost surely, 23720146049 is an apocalyptic number.

3720146049 is the 60993-rd square number.

3720146049 is the 30497-th centered octagonal number.

It is an amenable number.

3720146049 is a deficient number, since it is larger than the sum of its proper divisors (1882361920).

3720146049 is an frugal number, since it uses more digits than its factorization.

3720146049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The cubic root of 3720146049 is about 1549.4824562788.

Multiplying 3720146049 by its sum of digits (36), we get a square (133925257764 = 3659582).

It can be divided in two parts, 3720 and 146049, that added together give a square (149769 = 3872).

The spelling of 3720146049 in words is "three billion, seven hundred twenty million, one hundred forty-six thousand, forty-nine".

Divisors: 1 3 9 27 81 243 251 729 753 2187 2259 6561 6777 19683 20331 59049 60993 63001 182979 189003 548937 567009 1646811 1701027 4940433 5103081 14821299 15309243 45927729 137783187 413349561 1240048683 3720146049