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869886688968 = 2332119011121889
BaseRepresentation
bin11001010100010010100…
…10010111111011001000
310002011022220021101100100
430222021102113323020
5103223011443021333
61503342002405400
7116563413566553
oct14521122277310
93064286241310
10869886688968
11305a0a3a3590
1212070b360860
1364050a9c87b
1430161cc369a
15179639be213
hexca89497ec8

869886688968 has 96 divisors (see below), whose sum is σ = 2570426071200. Its totient is φ = 263570611200.

The previous prime is 869886688933. The next prime is 869886688973.

869886688968 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7075768 + ... + 7197656.

It is an arithmetic number, because the mean of its divisors is an integer number (26775271575).

Almost surely, 2869886688968 is an apocalyptic number.

869886688968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

869886688968 is an abundant number, since it is smaller than the sum of its proper divisors (1700539382232).

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

869886688968 is a wasteful number, since it uses less digits than its factorization.

869886688968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130923 (or 130916 counting only the distinct ones).

The product of its digits is 27518828544, while the sum is 90.

The spelling of 869886688968 in words is "eight hundred sixty-nine billion, eight hundred eighty-six million, six hundred eighty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 9011 18022 27033 36044 54066 72088 81099 99121 108132 121889 162198 198242 216264 243778 297363 324396 365667 396484 487556 594726 648792 731334 792968 892089 975112 1097001 1189452 1340779 1462668 1784178 2194002 2378904 2681558 2925336 3568356 4022337 4388004 5363116 7136712 8044674 8776008 10726232 12067011 16089348 24134022 32178696 48268044 96536088 1098341779 2196683558 3295025337 4393367116 6590050674 8786734232 9885076011 12081759569 13180101348 19770152022 24163519138 26360202696 36245278707 39540304044 48327038276 72490557414 79080608088 96654076552 108735836121 144981114828 217471672242 289962229656 434943344484 869886688968