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81206363630448 = 243373548039923
BaseRepresentation
bin10010011101101101010100…
…011101010010101101110000
3101122112020211002212001111000
4102131231110131102231300
541120441113042133243
6444413404411522000
723050652251566000
oct2235552435225560
9348466732761430
1081206363630448
1123969475250a51
129136406a59300
13364095b962014
14160a5a2306000
1595c56d1395d3
hex49db54752b70

81206363630448 has 160 divisors (see below), whose sum is σ = 271827802304000. Its totient is φ = 23201818137792.

The previous prime is 81206363630443. The next prime is 81206363630453. The reversal of 81206363630448 is 84403636360218.

81206363630448 is a `hidden beast` number, since 8 + 1 + 20 + 63 + 63 + 63 + 0 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (81206363630443) and next prime (81206363630453).

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

It is a junction number, because it is equal to n+sod(n) for n = 81206363630394 and 81206363630403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81206363630443) 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, 273871786 + ... + 274168137.

It is an arithmetic number, because the mean of its divisors is an integer number (1698923764400).

Almost surely, 281206363630448 is an apocalyptic number.

It is an amenable number.

81206363630448 is an abundant number, since it is smaller than the sum of its proper divisors (190621438673552).

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

81206363630448 is a wasteful number, since it uses less digits than its factorization.

81206363630448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548039961 (or 548039935 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 81206363630448 in words is "eighty-one trillion, two hundred six billion, three hundred sixty-three million, six hundred thirty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 343 378 392 432 441 504 588 686 756 784 882 1008 1029 1176 1323 1372 1512 1764 2058 2352 2646 2744 3024 3087 3528 4116 5292 5488 6174 7056 8232 9261 10584 12348 16464 18522 21168 24696 37044 49392 74088 148176 548039923 1096079846 1644119769 2192159692 3288239538 3836279461 4384319384 4932359307 6576479076 7672558922 8768638768 9864718614 11508838383 13152958152 14797077921 15345117844 19729437228 23017676766 26305916304 26853956227 29594155842 30690235688 34526515149 39458874456 46035353532 53707912454 59188311684 61380471376 69053030298 78917748912 80561868681 92070707064 103579545447 107415824908 118376623368 138106060596 161123737362 184141414128 187977693589 207159090894 214831649816 236753246736 241685606043 276212121192 322247474724 375955387178 414318181788 429663299632 483371212086 552424242384 563933080767 644494949448 725056818129 751910774356 828636363576 966742424172 1127866161534 1288989898896 1450113636258 1503821548712 1657272727152 1691799242301 1933484848344 2255732323068 2900227272516 3007643097424 3383598484602 3866969696688 4511464646136 5075397726903 5800454545032 6767196969204 9022929292272 10150795453806 11600909090064 13534393938408 20301590907612 27068787876816 40603181815224 81206363630448