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108153365068 = 227219312713457
BaseRepresentation
bin110010010111001110…
…0010110001001001100
3101100011101122012110201
41210232130112021030
53232444230140233
6121403541543244
710546066302100
oct1445634261114
9340141565421
10108153365068
114195a833a41
1218b64414b24
13a277a5c308
14533dc4b900
152c2ee2b77d
hex192e71624c

108153365068 has 144 divisors (see below), whose sum is σ = 240185487360. Its totient is φ = 42326323200.

The previous prime is 108153365029. The next prime is 108153365071. The reversal of 108153365068 is 860563351801.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 31283596 + ... + 31287052.

Almost surely, 2108153365068 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 108153365068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120092743680).

108153365068 is an abundant number, since it is smaller than the sum of its proper divisors (132032122292).

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

108153365068 is a wasteful number, since it uses less digits than its factorization.

108153365068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 108153365068 in words is "one hundred eight billion, one hundred fifty-three million, three hundred sixty-five thousand, sixty-eight".

Divisors: 1 2 4 7 14 19 28 31 38 49 62 76 98 124 133 196 217 266 271 434 532 542 589 868 931 1084 1178 1519 1862 1897 2356 3038 3457 3724 3794 4123 5149 6076 6914 7588 8246 8401 10298 13279 13828 16492 16802 20596 24199 26558 28861 33604 36043 48398 53116 57722 58807 65683 72086 96796 107167 115444 117614 131366 144172 159619 169393 214334 235228 252301 262732 319238 338786 411649 428668 459781 504602 638476 677572 750169 823298 919562 936847 1009204 1117333 1500338 1646596 1839124 1873694 2036173 2234666 3000676 3218467 3747388 4072346 4469332 5251183 6436934 6557929 7821331 8144692 10502366 12873868 13115858 14253211 15642662 17800093 21004732 26231716 28506422 29042257 31285324 35600186 45905503 57012844 58084514 71200372 91811006 99772477 116169028 124600651 183622012 199544954 203295799 249201302 399089908 406591598 498402604 551802883 813183196 872204557 1103605766 1423070593 1744409114 2207211532 2846141186 3488818228 3862620181 5692282372 7725240362 15450480724 27038341267 54076682534 108153365068