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81049947192 = 2334715093461
BaseRepresentation
bin100101101111011110…
…1000000110000111000
321202012111202220210000
41023132331000300320
52311442241302232
6101122301353000
75566331120064
oct1133675006070
9252174686700
1081049947192
1131411644a35
121385b568760
13784880c346
143ccc3a8aa4
15219576927c
hex12def40c38

81049947192 has 160 divisors (see below), whose sum is σ = 230731221600. Its totient is φ = 26576121600.

The previous prime is 81049947161. The next prime is 81049947193. The reversal of 81049947192 is 29174994018.

81049947192 is a `hidden beast` number, since 81 + 0 + 4 + 9 + 9 + 471 + 92 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81049947193) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23416342 + ... + 23419802.

It is an arithmetic number, because the mean of its divisors is an integer number (1442070135).

Almost surely, 281049947192 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 81049947192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115365610800).

81049947192 is an abundant number, since it is smaller than the sum of its proper divisors (149681274408).

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

81049947192 is a wasteful number, since it uses less digits than its factorization.

81049947192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4059 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 81049947192 in words is "eighty-one billion, forty-nine million, nine hundred forty-seven thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 284 324 426 509 568 639 648 852 1018 1278 1527 1704 1917 2036 2556 3054 3461 3834 4072 4581 5112 5751 6108 6922 7668 9162 10383 11502 12216 13743 13844 15336 18324 20766 23004 27486 27688 31149 36139 36648 41229 41532 46008 54972 62298 72278 82458 83064 93447 108417 109944 124596 144556 164916 186894 216834 245731 249192 280341 289112 325251 329832 373788 433668 491462 560682 650502 737193 747576 867336 975753 982924 1121364 1301004 1474386 1761649 1951506 1965848 2211579 2242728 2602008 2927259 2948772 3523298 3903012 4423158 5284947 5854518 5897544 6634737 7046596 7806024 8846316 10569894 11709036 13269474 14093192 15854841 17692632 19904211 21139788 23418072 26538948 31709682 39808422 42279576 47564523 53077896 63419364 79616844 95129046 125077079 126838728 142693569 159233688 190258092 250154158 285387138 375231237 380516184 500308316 570774276 750462474 1000616632 1125693711 1141548552 1500924948 2251387422 3001849896 3377081133 4502774844 6754162266 9005549688 10131243399 13508324532 20262486798 27016649064 40524973596 81049947192