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103919024664 = 233271315860657
BaseRepresentation
bin110000011001000001…
…1100111101000011000
3100221020021222102102100
41200302003213220120
53200311232242124
6115423441203400
710336132064250
oct1406203475030
9327207872370
10103919024664
1140087642364
1218182330560
139a5171bb50
14505b736960
152a833171c9
hex18320e7a18

103919024664 has 96 divisors (see below), whose sum is σ = 346396770720. Its totient is φ = 27407213568.

The previous prime is 103919024591. The next prime is 103919024681. The reversal of 103919024664 is 466420919301.

103919024664 is a `hidden beast` number, since 10 + 3 + 91 + 90 + 2 + 466 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7923777 + ... + 7936880.

It is an arithmetic number, because the mean of its divisors is an integer number (3608299695).

Almost surely, 2103919024664 is an apocalyptic number.

103919024664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103919024664 is an abundant number, since it is smaller than the sum of its proper divisors (242477746056).

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

103919024664 is a wasteful number, since it uses less digits than its factorization.

103919024664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15860689 (or 15860682 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 103919024664 in words is "one hundred three billion, nine hundred nineteen million, twenty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 15860657 31721314 47581971 63442628 95163942 111024599 126885256 142745913 190327884 206188541 222049198 285491826 333073797 380655768 412377082 444098396 570983652 618565623 666147594 824754164 888196792 999221391 1141967304 1237131246 1332295188 1443319787 1649508328 1855696869 1998442782 2474262492 2664590376 2886639574 3711393738 3996885564 4329959361 4948524984 5773279148 7422787476 7993771128 8659918722 11546558296 12989878083 14845574952 17319837444 25979756166 34639674888 51959512332 103919024664