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16440612500 = 225513101173
BaseRepresentation
bin11110100111110111…
…11101011010010100
31120102202220122112002
433103323331122110
5232132244100000
611315215214432
71121261620604
oct172373753224
946382818462
1016440612500
116a7732a564
123229b17418
1317201470a0
14b1d6a8c04
1566352c8d5
hex3d3efd694

16440612500 has 72 divisors (see below), whose sum is σ = 38728193112. Its totient is φ = 6070320000.

The previous prime is 16440612473. The next prime is 16440612521. The reversal of 16440612500 is 521604461.

It can be written as a sum of positive squares in 12 ways, for example, as 15703598596 + 737013904 = 125314^2 + 27148^2 .

It is a super-3 number, since 3×164406125003 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111914 + ... + 213086.

It is an arithmetic number, because the mean of its divisors is an integer number (537891571).

Almost surely, 216440612500 is an apocalyptic number.

16440612500 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 16440612500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19364096556).

16440612500 is an abundant number, since it is smaller than the sum of its proper divisors (22287580612).

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

16440612500 is a wasteful number, since it uses less digits than its factorization.

16440612500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101215 (or 101193 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 16440612500 in words is "sixteen billion, four hundred forty million, six hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 625 650 1250 1300 1625 2500 3125 3250 6250 6500 8125 12500 16250 32500 40625 81250 101173 162500 202346 404692 505865 1011730 1315249 2023460 2529325 2630498 5058650 5260996 6576245 10117300 12646625 13152490 25293250 26304980 32881225 50586500 63233125 65762450 126466250 131524900 164406125 252932500 316165625 328812250 632331250 657624500 822030625 1264662500 1644061250 3288122500 4110153125 8220306250 16440612500