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104000010777 = 331323101127549
BaseRepresentation
bin110000011011011100…
…0100011101000011001
3100221102221100221111000
41200312320203220121
53200443000321102
6115435453055213
710341134335335
oct1406670435031
9327387327430
10104000010777
1140119327433
12181a5487509
139a65436020
1450683b87c5
152a8a4b301c
hex1836e23a19

104000010777 has 64 divisors (see below), whose sum is σ = 174855744000. Its totient is φ = 60610809600.

The previous prime is 104000010733. The next prime is 104000010787. The reversal of 104000010777 is 777010000401.

It is not a de Polignac number, because 104000010777 - 220 = 103998962201 is a prime.

It is a super-2 number, since 2×1040000107772 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 104000010777.

It is not an unprimeable number, because it can be changed into a prime (104000010787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 751599 + ... + 879147.

It is an arithmetic number, because the mean of its divisors is an integer number (2732121000).

Almost surely, 2104000010777 is an apocalyptic number.

It is an amenable number.

104000010777 is a deficient number, since it is larger than the sum of its proper divisors (70855733223).

104000010777 is a wasteful number, since it uses less digits than its factorization.

104000010777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127695 (or 127689 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The spelling of 104000010777 in words is "one hundred four billion, ten thousand, seven hundred seventy-seven".

Divisors: 1 3 9 13 23 27 39 69 101 117 207 299 303 351 621 897 909 1313 2323 2691 2727 3939 6969 8073 11817 20907 30199 35451 62721 90597 127549 271791 382647 815373 1147941 1658137 2933627 3443823 4974411 8800881 12882449 14923233 26402643 38137151 38647347 44769699 79207929 114411453 115942041 167471837 296296327 343234359 347826123 502415511 888888981 1029703077 1507246533 2666666943 3851852251 4521739599 8000000829 11555556753 34666670259 104000010777