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102178874061768 = 233723109242603743
BaseRepresentation
bin10111001110111001011111…
…011111011111001111001000
3111101210012112102021012121110
4113032321133133133033020
5101343044313224434033
61001152154323410320
730344115516113550
oct2716713737371710
9441705472235543
10102178874061768
112a6148a9679079
12b562b4a2239a0
134502570c8b8ca
141b336abb2a160
15bc2d911e9363
hex5cee5f7df3c8

102178874061768 has 128 divisors (see below), whose sum is σ = 307427464396800. Its totient is φ = 27668471567616.

The previous prime is 102178874061757. The next prime is 102178874061793. The reversal of 102178874061768 is 867160478871201.

It is a junction number, because it is equal to n+sod(n) for n = 102178874061699 and 102178874061708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120880696 + ... + 121723047.

It is an arithmetic number, because the mean of its divisors is an integer number (2401777065600).

Almost surely, 2102178874061768 is an apocalyptic number.

It is an amenable number.

102178874061768 is an abundant number, since it is smaller than the sum of its proper divisors (205248590335032).

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

102178874061768 is a wasteful number, since it uses less digits than its factorization.

102178874061768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242603891 (or 242603887 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 66.

The spelling of 102178874061768 in words is "one hundred two trillion, one hundred seventy-eight billion, eight hundred seventy-four million, sixty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 109 138 161 168 184 218 276 322 327 436 483 552 644 654 763 872 966 1288 1308 1526 1932 2289 2507 2616 3052 3864 4578 5014 6104 7521 9156 10028 15042 17549 18312 20056 30084 35098 52647 60168 70196 105294 140392 210588 421176 242603743 485207486 727811229 970414972 1455622458 1698226201 1940829944 2911244916 3396452402 5094678603 5579886089 5822489832 6792904804 10189357206 11159772178 13585809608 16739658267 20378714412 22319544356 26443807987 33479316534 39059202623 40757428824 44639088712 52887615974 66958633068 78118405246 79331423961 105775231948 117177607869 133917266136 156236810492 158662847922 185106655909 211550463896 234355215738 312473620984 317325695844 370213311818 468710431476 555319967727 608207583701 634651391688 740426623636 937420862952 1110639935454 1216415167402 1480853247272 1824622751103 2221279870908 2432830334804 3649245502206 4257453085907 4442559741816 4865660669608 7298491004412 8514906171814 12772359257721 14596982008824 17029812343628 25544718515442 34059624687256 51089437030884 102178874061768