Search a number
-
+
11971071720 = 2332533252977
BaseRepresentation
bin10110010011000100…
…00000111011101000
31010220021200110012200
423021202000323220
5144004043243340
65255513340200
7602440300506
oct131142007350
933807613180
1011971071720
1150933a3403
1223a1107660
13118a1765ba
14817c4b676
154a0e59330
hex2c9880ee8

11971071720 has 48 divisors (see below), whose sum is σ = 38905984260. Its totient is φ = 3192285696.

The previous prime is 11971071677. The next prime is 11971071743. The reversal of 11971071720 is 2717017911.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11939058756 + 32012964 = 109266^2 + 5658^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16626129 + ... + 16626848.

Almost surely, 211971071720 is an apocalyptic number.

11971071720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11971071720 is an abundant number, since it is smaller than the sum of its proper divisors (26934912540).

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

11971071720 is a wasteful number, since it uses less digits than its factorization.

11971071720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33252994 (or 33252987 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 36.

The spelling of 11971071720 in words is "eleven billion, nine hundred seventy-one million, seventy-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 33252977 66505954 99758931 133011908 166264885 199517862 266023816 299276793 332529770 399035724 498794655 598553586 665059540 798071448 997589310 1197107172 1330119080 1496383965 1995178620 2394214344 2992767930 3990357240 5985535860 11971071720