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61549987212 = 22337247247463
BaseRepresentation
bin111001010100101010…
…100100010110001100
312212212112011022111000
4321110222210112030
52002023244042322
644135313500300
74306160154600
oct712452442614
9185775138430
1061549987212
11241153aa42a
12bb18b71690
135a5b901a9c
142d9c689500
1519038733ac
hexe54aa458c

61549987212 has 144 divisors (see below), whose sum is σ = 189577221120. Its totient is φ = 17211477024.

The previous prime is 61549987199. The next prime is 61549987249. The reversal of 61549987212 is 21278994516.

It is a happy number.

61549987212 is a `hidden beast` number, since 6 + 1 + 549 + 9 + 87 + 2 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124993 + ... + 372455.

It is an arithmetic number, because the mean of its divisors is an integer number (1316508480).

Almost surely, 261549987212 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 61549987212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94788610560).

61549987212 is an abundant number, since it is smaller than the sum of its proper divisors (128027233908).

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

61549987212 is a wasteful number, since it uses less digits than its factorization.

61549987212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247537 (or 247522 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 61549987212 in words is "sixty-one billion, five hundred forty-nine million, nine hundred eighty-seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 49 54 63 84 94 98 108 126 141 147 188 189 196 252 282 294 329 378 423 441 564 588 658 756 846 882 987 1269 1316 1323 1692 1764 1974 2303 2538 2646 2961 3948 4606 5076 5292 5922 6909 8883 9212 11844 13818 17766 20727 27636 35532 41454 62181 82908 124362 247463 248724 494926 742389 989852 1484778 1732241 2227167 2969556 3464482 4454334 5196723 6681501 6928964 8908668 10393446 11630761 12125687 13363002 15590169 20786892 23261522 24251374 26726004 31180338 34892283 36377061 46523044 46770507 48502748 62360676 69784566 72754122 81415327 93541014 104676849 109131183 139569132 145508244 162830654 187082028 209353698 218262366 244245981 314030547 325661308 327393549 418707396 436524732 488491962 569907289 628061094 654787098 732737943 976983924 1139814578 1256122188 1309574196 1465475886 1709721867 2198213829 2279629156 2930951772 3419443734 4396427658 5129165601 6838887468 8792855316 10258331202 15387496803 20516662404 30774993606 61549987212