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12777600472 = 23713194122531
BaseRepresentation
bin10111110011001101…
…01011010111011000
31012222111022100122221
423321212223113120
5202132031203342
65511524153424
7631432545340
oct137146532730
935874270587
1012777600472
11546769339a
122587238874
1312882a4050
14892dd5d20
154ebb70a67
hex2f99ab5d8

12777600472 has 128 divisors (see below), whose sum is σ = 31797158400. Its totient is φ = 4671820800.

The previous prime is 12777600443. The next prime is 12777600551. The reversal of 12777600472 is 27400677721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555847 + ... + 578377.

It is an arithmetic number, because the mean of its divisors is an integer number (248415300).

Almost surely, 212777600472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12777600472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15898579200).

12777600472 is an abundant number, since it is smaller than the sum of its proper divisors (19019557928).

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

12777600472 is a wasteful number, since it uses less digits than its factorization.

12777600472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22617 (or 22613 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 43.

The spelling of 12777600472 in words is "twelve billion, seven hundred seventy-seven million, six hundred thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 41 52 56 76 82 91 104 133 152 164 182 247 266 287 328 364 494 532 533 574 728 779 988 1064 1066 1148 1558 1729 1976 2132 2296 3116 3458 3731 4264 5453 6232 6916 7462 10127 10906 13832 14924 20254 21812 22531 29848 40508 43624 45062 70889 81016 90124 141778 157717 180248 283556 292903 315434 428089 567112 585806 630868 856178 923771 1171612 1261736 1712356 1847542 2050321 2343224 2996623 3424712 3695084 4100642 5565157 5993246 6466397 7390168 8201284 11130314 11986492 12009023 12932794 16402568 17551649 22260628 23972984 24018046 25865588 35103298 38956099 44521256 48036092 51731176 70206596 77912198 84063161 96072184 122861543 140413192 155824396 168126322 228171437 245723086 311648792 336252644 456342874 491446172 672505288 912685748 982892344 1597200059 1825371496 3194400118 6388800236 12777600472