Search a number
-
+
71662271220 = 223251065137379
BaseRepresentation
bin100001010111101100…
…1110111101011110100
320211222021012120022100
41002233121313223310
52133231020134340
652530551102100
75114600153301
oct1025731675364
9224867176270
1071662271220
1128434536041
1211a7b671930
1369b09440a7
14367b6ba0a8
151ce6510830
hex10af677af4

71662271220 has 72 divisors (see below), whose sum is σ = 217401780960. Its totient is φ = 19107633600.

The previous prime is 71662271207. The next prime is 71662271231. The reversal of 71662271220 is 2217226617.

It is a happy number.

71662271220 is a `hidden beast` number, since 7 + 1 + 6 + 622 + 7 + 1 + 2 + 20 = 666.

It is a super-2 number, since 2×716622712202 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1898491 + ... + 1935869.

It is an arithmetic number, because the mean of its divisors is an integer number (3019469180).

Almost surely, 271662271220 is an apocalyptic number.

It is an amenable number.

71662271220 is an abundant number, since it is smaller than the sum of its proper divisors (145739509740).

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

71662271220 is a wasteful number, since it uses less digits than its factorization.

71662271220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48045 (or 48040 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 71662271220 its reverse (2217226617), we get a palindrome (73879497837).

The spelling of 71662271220 in words is "seventy-one billion, six hundred sixty-two million, two hundred seventy-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 10651 21302 31953 37379 42604 53255 63906 74758 95859 106510 112137 127812 149516 159765 186895 191718 213020 224274 319530 336411 373790 383436 448548 479295 560685 639060 672822 747580 958590 1121370 1345644 1682055 1917180 2242740 3364110 6728220 398123729 796247458 1194371187 1592494916 1990618645 2388742374 3583113561 3981237290 4777484748 5971855935 7166227122 7962474580 11943711870 14332454244 17915567805 23887423740 35831135610 71662271220