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102388727168 = 2771317517073
BaseRepresentation
bin101111101011011010…
…1111111110110000000
3100210021122110020220022
41133112311333312000
53134143003232133
6115011533433012
710253200551440
oct1372665776600
9323248406808
10102388727168
113a471849192
1217a1593b768
13986967c380
144d543c8120
1529e3cd5998
hex17d6d7fd80

102388727168 has 128 divisors (see below), whose sum is σ = 265817401920. Its totient is φ = 38122684416.

The previous prime is 102388727153. The next prime is 102388727171. The reversal of 102388727168 is 861727883201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60521 + ... + 456552.

Almost surely, 2102388727168 is an apocalyptic number.

It is an amenable number.

102388727168 is an abundant number, since it is smaller than the sum of its proper divisors (163428674752).

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

102388727168 is a wasteful number, since it uses less digits than its factorization.

102388727168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517124 (or 517112 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 53.

The spelling of 102388727168 in words is "one hundred two billion, three hundred eighty-eight million, seven hundred twenty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 128 136 182 208 221 224 238 272 364 416 442 448 476 544 728 832 884 896 952 1088 1456 1547 1664 1768 1904 2176 2912 3094 3536 3808 5824 6188 7072 7616 11648 12376 14144 15232 24752 28288 49504 99008 198016 517073 1034146 2068292 3619511 4136584 6721949 7239022 8273168 8790241 13443898 14478044 16546336 17580482 26887796 28956088 33092672 35160964 47053643 53775592 57912176 61531687 66185344 70321928 94107286 107551184 114273133 115824352 123063374 140643856 188214572 215102368 228546266 231648704 246126748 281287712 376429144 430204736 457092532 463297408 492253496 562575424 752858288 799911931 860409472 914185064 984506992 1125150848 1505716576 1599823862 1828370128 1969013984 3011433152 3199647724 3656740256 3938027968 6022866304 6399295448 7313480512 7876055936 12798590896 14626961024 25597181792 51194363584 102388727168