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677403000648 = 233411234131917
BaseRepresentation
bin10011101101110000101…
…11010111111101001000
32101202111101020220010000
421312320113113331020
542044310132010043
61235110013123000
766640451333643
oct11667027277510
92352441226100
10677403000648
11241315374620
12ab350a89460
134bb56a300ca
1424b0215ca5a
151294a3502d3
hex9db85d7f48

677403000648 has 160 divisors (see below), whose sum is σ = 2159836176960. Its totient is φ = 196348648320.

The previous prime is 677403000641. The next prime is 677403000667. The reversal of 677403000648 is 846000304776.

It is not an unprimeable number, because it can be changed into a prime (677403000641) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1902015 + ... + 2229902.

It is an arithmetic number, because the mean of its divisors is an integer number (13498976106).

Almost surely, 2677403000648 is an apocalyptic number.

It is an amenable number.

677403000648 is an abundant number, since it is smaller than the sum of its proper divisors (1482433176312).

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

677403000648 is a wasteful number, since it uses less digits than its factorization.

677403000648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131969 (or 4131956 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 677403000648 in words is "six hundred seventy-seven billion, four hundred three million, six hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 81 88 92 99 108 132 138 162 184 198 207 216 253 264 276 297 324 396 414 506 552 594 621 648 759 792 828 891 1012 1188 1242 1518 1656 1782 1863 2024 2277 2376 2484 3036 3564 3726 4554 4968 6072 6831 7128 7452 9108 13662 14904 18216 20493 27324 40986 54648 81972 163944 4131917 8263834 12395751 16527668 24791502 33055336 37187253 45451087 49583004 74374506 90902174 95034091 99166008 111561759 136353261 148749012 181804348 190068182 223123518 272706522 285102273 297498024 334685277 363608696 380136364 409059783 446247036 545413044 570204546 669370554 760272728 818119566 855306819 892494072 1045375001 1090826088 1140409092 1227179349 1338741108 1636239132 1710613638 2090750002 2280818184 2454358698 2565920457 2677482216 3136125003 3272478264 3421227276 3681538047 4181500004 4908717396 5131840914 6272250006 6842454552 7363076094 7697761371 8363000008 9408375009 9817434792 10263681828 12544500012 14726152188 15395522742 18816750018 20527363656 25089000024 28225125027 29452304376 30791045484 37633500036 56450250054 61582090968 75267000072 84675375081 112900500108 169350750162 225801000216 338701500324 677403000648