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121769617368 = 23372179578467
BaseRepresentation
bin111000101101000001…
…0001110011111011000
3102122022100000111011110
41301122002032133120
53443341010223433
6131535025300320
711540364445500
oct1613202163730
9378270014143
10121769617368
1147707857913
121b7244946a0
13b6379ca239
145c72390a00
15327a50b963
hex1c5a08e7d8

121769617368 has 96 divisors (see below), whose sum is σ = 356104900800. Its totient is φ = 34596894528.

The previous prime is 121769617337. The next prime is 121769617379. The reversal of 121769617368 is 863716967121.

It is a happy number.

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, 78730 + ... + 499737.

It is an arithmetic number, because the mean of its divisors is an integer number (3709426050).

Almost surely, 2121769617368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121769617368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178052450400).

121769617368 is an abundant number, since it is smaller than the sum of its proper divisors (234335283432).

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

121769617368 is a wasteful number, since it uses less digits than its factorization.

121769617368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578669 (or 578658 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 57.

The spelling of 121769617368 in words is "one hundred twenty-one billion, seven hundred sixty-nine million, six hundred seventeen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 179 196 294 358 392 537 588 716 1074 1176 1253 1432 2148 2506 3759 4296 5012 7518 8771 10024 15036 17542 26313 30072 35084 52626 70168 105252 210504 578467 1156934 1735401 2313868 3470802 4049269 4627736 6941604 8098538 12147807 13883208 16197076 24295614 28344883 32394152 48591228 56689766 85034649 97182456 103545593 113379532 170069298 207091186 226759064 310636779 340138596 414182372 621273558 680277192 724819151 828364744 1242547116 1449638302 2174457453 2485094232 2899276604 4348914906 5073734057 5798553208 8697829812 10147468114 15221202171 17395659624 20294936228 30442404342 40589872456 60884808684 121769617368