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108164918512 = 24719233759729
BaseRepresentation
bin110010010111100100…
…0011010110011110000
3101100012012101011211001
41210233020122303300
53233010204343022
6121405033331344
710546266431440
oct1445710326360
9340165334731
10108164918512
1141966305242
1218b68266b54
13a27a275c81
1453415b8120
152c30e5eb27
hex192f21acf0

108164918512 has 160 divisors (see below), whose sum is σ = 270189849600. Its totient is φ = 40871153664.

The previous prime is 108164918509. The next prime is 108164918513. The reversal of 108164918512 is 215819461801.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108164918513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1781064 + ... + 1840792.

It is an arithmetic number, because the mean of its divisors is an integer number (1688686560).

Almost surely, 2108164918512 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 108164918512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135094924800).

108164918512 is an abundant number, since it is smaller than the sum of its proper divisors (162024931088).

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

108164918512 is a wasteful number, since it uses less digits than its factorization.

108164918512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59823 (or 59817 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 46.

The spelling of 108164918512 in words is "one hundred eight billion, one hundred sixty-four million, nine hundred eighteen thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 23 28 37 38 46 56 74 76 92 112 133 148 152 161 184 259 266 296 304 322 368 437 518 532 592 644 703 851 874 1036 1064 1288 1406 1702 1748 2072 2128 2576 2812 3059 3404 3496 4144 4921 5624 5957 6118 6808 6992 9842 11248 11914 12236 13616 16169 19684 23828 24472 32338 39368 47656 48944 59729 64676 78736 95312 113183 119458 129352 226366 238916 258704 418103 452732 477832 836206 905464 955664 1134851 1373767 1672412 1810928 2209973 2269702 2747534 3344824 4419946 4539404 5495068 6689648 7943957 8839892 9078808 9616369 10990136 15469811 15887914 17679784 18157616 19232738 21980272 26101573 30939622 31775828 35359568 38465476 41989487 50829379 52203146 61879244 63551656 76930952 83978974 101658758 104406292 123758488 127103312 153861904 167957948 182711011 203317516 208812584 247516976 293926409 335915896 355805653 365422022 406635032 417625168 587852818 671831792 711611306 730844044 813270064 965758201 1175705636 1423222612 1461688088 1931516402 2351411272 2846445224 2923376176 3863032804 4702822544 5692890448 6760307407 7726065608 13520614814 15452131216 27041229628 54082459256 108164918512