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103281622368 = 2535383244567
BaseRepresentation
bin110000000110000010…
…0000111110101100000
3100212120212121000211220
41200030010013311200
53143010043403433
6115240311335040
710314262206441
oct1401404076540
9325525530756
10103281622368
113a88a868601
1218024981480
13997c658c22
144ddac152c8
152a473ac2b3
hex180c107d60

103281622368 has 96 divisors (see below), whose sum is σ = 279558832896. Its totient is φ = 33370541568.

The previous prime is 103281622357. The next prime is 103281622373. The reversal of 103281622368 is 863226182301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300021 + ... + 544587.

It is an arithmetic number, because the mean of its divisors is an integer number (2912071176).

Almost surely, 2103281622368 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 103281622368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139779416448).

103281622368 is an abundant number, since it is smaller than the sum of its proper divisors (176277210528).

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

103281622368 is a wasteful number, since it uses less digits than its factorization.

103281622368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244716 (or 244708 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 103281622368 in words is "one hundred three billion, two hundred eighty-one million, six hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 83 96 106 159 166 212 249 318 332 424 498 636 664 848 996 1272 1328 1696 1992 2544 2656 3984 4399 5088 7968 8798 13197 17596 26394 35192 52788 70384 105576 140768 211152 244567 422304 489134 733701 978268 1467402 1956536 2934804 3913072 5869608 7826144 11739216 12962051 20299061 23478432 25924102 38886153 40598122 51848204 60897183 77772306 81196244 103696408 121794366 155544612 162392488 207392816 243588732 311089224 324784976 414785632 487177464 622178448 649569952 974354928 1075850233 1244356896 1948709856 2151700466 3227550699 4303400932 6455101398 8606801864 12910202796 17213603728 25820405592 34427207456 51640811184 103281622368