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16716451640 = 2357107577967
BaseRepresentation
bin11111001000110000…
…01100111100111000
31121010222221201200112
433210120030330320
5233213402423030
611402431323452
71131151331420
oct174430147470
947128851615
1016716451640
1170a9001599
1232a6380588
131765335905
14b4818d480
1567c867a95
hex3e460cf38

16716451640 has 128 divisors (see below), whose sum is σ = 43507031040. Its totient is φ = 5662089216.

The previous prime is 16716451603. The next prime is 16716451649. The reversal of 16716451640 is 4615461761.

16716451640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16716451649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17286437 + ... + 17287403.

It is an arithmetic number, because the mean of its divisors is an integer number (339898680).

Almost surely, 216716451640 is an apocalyptic number.

16716451640 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 16716451640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21753515520).

16716451640 is an abundant number, since it is smaller than the sum of its proper divisors (26790579400).

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

16716451640 is a wasteful number, since it uses less digits than its factorization.

16716451640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 16716451640 in words is "sixteen billion, seven hundred sixteen million, four hundred fifty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 107 140 214 280 428 535 577 749 856 967 1070 1154 1498 1934 2140 2308 2885 2996 3745 3868 4039 4280 4616 4835 5770 5992 6769 7490 7736 8078 9670 11540 13538 14980 16156 19340 20195 23080 27076 29960 32312 33845 38680 40390 54152 61739 67690 80780 103469 123478 135380 161560 206938 246956 270760 308695 413876 432173 493912 517345 557959 617390 724283 827752 864346 1034690 1115918 1234780 1448566 1728692 2069380 2160865 2231836 2469560 2789795 2897132 3457384 3621415 3905713 4138760 4321730 4463672 5579590 5794264 7242830 7811426 8643460 11159180 14485660 15622852 17286920 19528565 22318360 28971320 31245704 39057130 59701613 78114260 119403226 156228520 238806452 298508065 417911291 477612904 597016130 835822582 1194032260 1671645164 2089556455 2388064520 3343290328 4179112910 8358225820 16716451640