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108114310460 = 225135926212689
BaseRepresentation
bin110010010110000011…
…1010111010100111100
3101100001200011000121202
41210230013113110330
53232404230413320
6121400024515032
710545113322212
oct1445407272474
9340050130552
10108114310460
114193a789702
1218b5331ba78
13a26c936b90
1453389a2cb2
152c2b7b4b75
hex192c1d753c

108114310460 has 96 divisors (see below), whose sum is σ = 248836190400. Its totient is φ = 39212974080.

The previous prime is 108114310429. The next prime is 108114310471. The reversal of 108114310460 is 64013411801.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 40204796 + ... + 40207484.

It is an arithmetic number, because the mean of its divisors is an integer number (2592043650).

Almost surely, 2108114310460 is an apocalyptic number.

108114310460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108114310460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124418095200).

108114310460 is an abundant number, since it is smaller than the sum of its proper divisors (140721879940).

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

108114310460 is a wasteful number, since it uses less digits than its factorization.

108114310460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5391 (or 5389 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 108114310460 in words is "one hundred eight billion, one hundred fourteen million, three hundred ten thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 236 260 295 590 767 1180 1534 2621 2689 3068 3835 5242 5378 7670 10484 10756 13105 13445 15340 26210 26890 34073 34957 52420 53780 68146 69914 136292 139828 154639 158651 170365 174785 309278 317302 340730 349570 618556 634604 681460 699140 773195 793255 1546390 1586510 2010307 2062463 3092780 3173020 4020614 4124926 7047869 8041228 8249852 10051535 10312315 14095738 20103070 20624630 28191476 35239345 40206140 41249260 70478690 91622297 140957380 183244594 366489188 415824271 458111485 831648542 916222970 1663297084 1832445940 2079121355 4158242710 5405715523 8316485420 10811431046 21622862092 27028577615 54057155230 108114310460