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3729670113 = 3131961109757
BaseRepresentation
bin1101111001001110…
…0011111111100001
3100121221000212120010
43132103203333201
530114243420423
61414031435133
7161265446541
oct33623437741
910557025503
103729670113
1116443353a4
12881085aa9
134759116c0
142754a5321
1516c677693
hexde4e3fe1

3729670113 has 64 divisors (see below), whose sum is σ = 5789907200. Its totient is φ = 2116316160.

The previous prime is 3729670111. The next prime is 3729670129. The reversal of 3729670113 is 3110769273.

It is a happy number.

It is not a de Polignac number, because 3729670113 - 21 = 3729670111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3729670111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4926531 + ... + 4927287.

It is an arithmetic number, because the mean of its divisors is an integer number (90467300).

Almost surely, 23729670113 is an apocalyptic number.

It is an amenable number.

3729670113 is a deficient number, since it is larger than the sum of its proper divisors (2060237087).

3729670113 is a wasteful number, since it uses less digits than its factorization.

3729670113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962.

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 3729670113 is about 61071.0251510485. The cubic root of 3729670113 is about 1550.8036225416.

The spelling of 3729670113 in words is "three billion, seven hundred twenty-nine million, six hundred seventy thousand, one hundred thirteen".

Divisors: 1 3 13 19 39 57 61 109 183 247 327 741 757 793 1159 1417 2071 2271 2379 3477 4251 6213 6649 9841 14383 15067 19947 26923 29523 43149 45201 46177 80769 82513 86437 126331 138531 186979 247539 259311 378993 560937 600301 877363 1072669 1567747 1642303 1800903 2632089 3218007 4703241 4926909 5033293 11405719 15099879 20380711 34217157 61142133 65432809 95632567 196298427 286897701 1243223371 3729670113