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16400495828106 = 23213617914544011
BaseRepresentation
bin1110111010101000100110…
…1110100101110010001010
32011001212112202022212000100
43232222021232211302022
54122201203412444411
654514141143350230
73311616401256465
oct356521156456212
964055482285010
1016400495828106
115253458375865
121a0a638a52376
1391c73877a860
14409b06cac2dc
151d69340b6456
hexeea89ba5c8a

16400495828106 has 96 divisors (see below), whose sum is σ = 39387511537920. Its totient is φ = 4900749609600.

The previous prime is 16400495828081. The next prime is 16400495828131. The reversal of 16400495828106 is 60182859400461.

16400495828106 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 0 + 49 + 582 + 8 + 10 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (16400495828081) and next prime (16400495828131).

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 47 ways as a sum of consecutive naturals, for example, 6144360 + ... + 8399651.

It is an arithmetic number, because the mean of its divisors is an integer number (410286578520).

Almost surely, 216400495828106 is an apocalyptic number.

16400495828106 is an abundant number, since it is smaller than the sum of its proper divisors (22987015709814).

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

16400495828106 is a wasteful number, since it uses less digits than its factorization.

16400495828106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14544172 (or 14544169 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 16400495828106 in words is "sixteen trillion, four hundred billion, four hundred ninety-five million, eight hundred twenty-eight thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 79 117 122 158 183 234 237 366 474 549 711 793 1027 1098 1422 1586 2054 2379 3081 4758 4819 6162 7137 9243 9638 14274 14457 18486 28914 43371 62647 86742 125294 187941 375882 563823 1127646 14544011 29088022 43632033 87264066 130896099 189072143 261792198 378144286 567216429 887184671 1134432858 1148976869 1701649287 1774369342 2297953738 2661554013 3403298574 3446930607 5323108026 6893861214 7984662039 10340791821 11533400723 14936699297 15969324078 20681583642 23066801446 29873398594 34600202169 44810097891 69200404338 70087589009 89620195782 103800606507 134430293673 140175178018 207601213014 210262767027 268860587346 420525534054 630788301081 911138657117 1261576602162 1822277314234 2733415971351 5466831942702 8200247914053 16400495828106