Search a number
-
+
77314235132 = 222329416131153
BaseRepresentation
bin100100000000001001…
…0011001101011111100
321101120011101002020002
41020000102121223330
52231314421011012
655303452213432
75404630104221
oct1100022315374
9241504332202
1077314235132
112a8749631a2
1212b9846a278
1373a1893834
143a561ad948
1520277eb7c2
hex1200499afc

77314235132 has 96 divisors (see below), whose sum is σ = 149987134080. Its totient is φ = 34743582720.

The previous prime is 77314235129. The next prime is 77314235137. The reversal of 77314235132 is 23153241377.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77314235137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67054268 + ... + 67055420.

It is an arithmetic number, because the mean of its divisors is an integer number (1562365980).

Almost surely, 277314235132 is an apocalyptic number.

It is an amenable number.

77314235132 is a deficient number, since it is larger than the sum of its proper divisors (72672898948).

77314235132 is a wasteful number, since it uses less digits than its factorization.

77314235132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1861 counting only the distinct ones).

The product of its digits is 105840, while the sum is 38.

The spelling of 77314235132 in words is "seventy-seven billion, three hundred fourteen million, two hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 4 23 29 41 46 58 82 92 116 164 613 667 943 1153 1189 1226 1334 1886 2306 2378 2452 2668 3772 4612 4756 14099 17777 25133 26519 27347 28198 33437 35554 47273 50266 53038 54694 56396 66874 71108 94546 100532 106076 109388 133748 189092 408871 578059 706789 728857 769051 817742 1087279 1156118 1370917 1413578 1457714 1538102 1635484 2174558 2312236 2741834 2827156 2915428 3076204 4349116 5483668 16256147 16763711 20496881 28978349 31531091 32512294 33527422 40993762 57956698 63062182 65024588 67054844 81987524 115913396 126124364 471428263 666502027 840372121 942856526 1333004054 1680744242 1885713052 2666008108 3361488484 19328558783 38657117566 77314235132