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16440605056 = 271973531847
BaseRepresentation
bin11110100111110111…
…11011100110000000
31120102202220021022101
433103323323212000
5232132243330211
611315215120144
71121261560111
oct172373734600
946382807271
1016440605056
116a77324a07
123229b13054
131720143895
14b1d6a6208
1566352a5c1
hex3d3efb980

16440605056 has 64 divisors (see below), whose sum is σ = 33030154080. Its totient is φ = 8150990848.

The previous prime is 16440605053. The next prime is 16440605107. The reversal of 16440605056 is 65050604461.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×164406050563 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16440605053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8900325 + ... + 8902171.

Almost surely, 216440605056 is an apocalyptic number.

16440605056 is a gapful number since it is divisible by the number (16) 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 16440605056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16515077040).

16440605056 is an abundant number, since it is smaller than the sum of its proper divisors (16589549024).

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

16440605056 is a wasteful number, since it uses less digits than its factorization.

16440605056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 16440605056 in words is "sixteen billion, four hundred forty million, six hundred five thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 128 197 353 394 706 788 1412 1576 1847 2824 3152 3694 5648 6304 7388 11296 12608 14776 22592 25216 29552 45184 59104 69541 118208 139082 236416 278164 363859 556328 651991 727718 1112656 1303982 1455436 2225312 2607964 2910872 4450624 5215928 5821744 8901248 10431856 11643488 20863712 23286976 41727424 46573952 83454848 128442227 256884454 513768908 1027537816 2055075632 4110151264 8220302528 16440605056