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16314522500 = 225443473229
BaseRepresentation
bin11110011000110101…
…11101101110000100
31120002222122121120002
433030122331232010
5231403004210000
611254512500432
71115201103353
oct171432755604
946088577502
1016314522500
116a12139251
1231b384a718
1316ccc9a213
14b0aa4599a
156574228d5
hex3cc6bdb84

16314522500 has 120 divisors (see below), whose sum is σ = 37294561920. Its totient is φ = 6236496000.

The previous prime is 16314522491. The next prime is 16314522527. The reversal of 16314522500 is 522541361.

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 39 ways as a sum of consecutive naturals, for example, 5050886 + ... + 5054114.

It is an arithmetic number, because the mean of its divisors is an integer number (310788016).

Almost surely, 216314522500 is an apocalyptic number.

16314522500 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 16314522500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18647280960).

16314522500 is an abundant number, since it is smaller than the sum of its proper divisors (20980039420).

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

16314522500 is a wasteful number, since it uses less digits than its factorization.

16314522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 16314522500 in words is "sixteen billion, three hundred fourteen million, five hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 43 47 50 86 94 100 125 172 188 215 235 250 430 470 500 625 860 940 1075 1175 1250 2021 2150 2350 2500 3229 4042 4300 4700 5375 5875 6458 8084 10105 10750 11750 12916 16145 20210 21500 23500 26875 29375 32290 40420 50525 53750 58750 64580 80725 101050 107500 117500 138847 151763 161450 202100 252625 277694 303526 322900 403625 505250 555388 607052 694235 758815 807250 1010500 1263125 1388470 1517630 1614500 2018125 2526250 2776940 3035260 3471175 3794075 4036250 5052500 6525809 6942350 7588150 8072500 13051618 13884700 15176300 17355875 18970375 26103236 32629045 34711750 37940750 65258090 69423500 75881500 86779375 94851875 130516180 163145225 173558750 189703750 326290450 347117500 379407500 652580900 815726125 1631452250 3262904500 4078630625 8157261250 16314522500