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63061411812 = 223721375411447
BaseRepresentation
bin111010101110110000…
…001100011111100100
320000202212011122020220
4322232300030133210
52013122210134222
644545304524340
74361502104400
oct725660143744
9200685148226
1063061411812
1124820583073
121027b1806b0
135c3ca94179
1430a32c4100
1519913c7b5c
hexeaec0c7e4

63061411812 has 144 divisors (see below), whose sum is σ = 172854154368. Its totient is φ = 17840632320.

The previous prime is 63061411811. The next prime is 63061411841. The reversal of 63061411812 is 21811416036.

It is not an unprimeable number, because it can be changed into a prime (63061411811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43580073 + ... + 43581519.

It is an arithmetic number, because the mean of its divisors is an integer number (1200376072).

Almost surely, 263061411812 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 63061411812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86427077184).

63061411812 is an abundant number, since it is smaller than the sum of its proper divisors (109792742556).

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

63061411812 is a wasteful number, since it uses less digits than its factorization.

63061411812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

Adding to 63061411812 its reverse (21811416036), we get a palindrome (84872827848).

The spelling of 63061411812 in words is "sixty-three billion, sixty-one million, four hundred eleven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 137 147 196 274 294 411 541 548 588 822 959 1082 1447 1623 1644 1918 2164 2877 2894 3246 3787 3836 4341 5754 5788 6492 6713 7574 8682 10129 11361 11508 13426 15148 17364 20139 20258 22722 26509 26852 30387 40278 40516 45444 53018 60774 70903 74117 79527 80556 106036 121548 141806 148234 159054 198239 212709 222351 283612 296468 318108 396478 425418 444702 518819 594717 782827 792956 850836 889404 1037638 1189434 1387673 1556457 1565654 2075276 2348481 2378868 2775346 3112914 3131308 3631733 4163019 4696962 5479789 5550692 6225828 7263466 8326038 9393924 9713711 10895199 10959578 14526932 16439367 16652076 19427422 21790398 21919156 29141133 32878734 38358523 38854844 43580796 58282266 65757468 76717046 107247299 115075569 116564532 153434092 214494598 230151138 321741897 428989196 460302276 643483794 750731093 1286967588 1501462186 2252193279 3002924372 4504386558 5255117651 9008773116 10510235302 15765352953 21020470604 31530705906 63061411812