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311663261364 = 2237131971448761
BaseRepresentation
bin1001000100100001001…
…00111111011010110100
31002210110100102002112020
410202100210333122310
520101241243330424
6355102013153140
731342210003650
oct4422044773264
91083410362466
10311663261364
111101a2871184
125049b48b7b0
132350b2a13b0
1411128145a60
1581915b5079
hex489093f6b4

311663261364 has 96 divisors (see below), whose sum is σ = 899576891136. Its totient is φ = 81779604480.

The previous prime is 311663261339. The next prime is 311663261369. The reversal of 311663261364 is 463162366113.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311663261369) 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, 509257 + ... + 939504.

It is an arithmetic number, because the mean of its divisors is an integer number (9370592616).

Almost surely, 2311663261364 is an apocalyptic number.

It is an amenable number.

311663261364 is an abundant number, since it is smaller than the sum of its proper divisors (587913629772).

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

311663261364 is a wasteful number, since it uses less digits than its factorization.

311663261364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448985 (or 1448983 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The spelling of 311663261364 in words is "three hundred eleven billion, six hundred sixty-three million, two hundred sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 197 273 364 394 546 591 788 1092 1182 1379 2364 2561 2758 4137 5122 5516 7683 8274 10244 15366 16548 17927 30732 35854 53781 71708 107562 215124 1448761 2897522 4346283 5795044 8692566 10141327 17385132 18833893 20282654 30423981 37667786 40565308 56501679 60847962 75335572 113003358 121695924 131837251 226006716 263674502 285405917 395511753 527349004 570811834 791023506 856217751 1141623668 1582047012 1712435502 1997841419 3424871004 3710276921 3995682838 5993524257 7420553842 7991365676 11130830763 11987048514 14841107684 22261661526 23974097028 25971938447 44523323052 51943876894 77915815341 103887753788 155831630682 311663261364