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16082698584976 = 24773212972
BaseRepresentation
bin1110101000001000101110…
…0010010100001110010000
32002221111020220202012101021
43222002023202110032100
54101444331314204401
654112142325445224
73246636156260662
oct352021342241620
962844226665337
1016082698584976
1151406a8092371
121978b27270814
138c879072c76a
143d859a23c532
151cd5342502a1
hexea08b894390

16082698584976 has 45 divisors (see below), whose sum is σ = 31224665947251. Its totient is φ = 8024754571776.

The previous prime is 16082698584943. The next prime is 16082698585003. The reversal of 16082698584976 is 67948589628061.

The square root of 16082698584976 is 4010324.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 631509944976 + 15451188640000 = 794676^2 + 3930800^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16082698584896 and 16082698584905.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 12399921160 + ... + 12399922456.

Almost surely, 216082698584976 is an apocalyptic number.

16082698584976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16082698584976 is the 4010324-th square number.

It is an amenable number.

16082698584976 is a deficient number, since it is larger than the sum of its proper divisors (15141967362275).

16082698584976 is an frugal number, since it uses more digits than its factorization.

16082698584976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 79.

The spelling of 16082698584976 in words is "sixteen trillion, eighty-two billion, six hundred ninety-eight million, five hundred eighty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 773 1297 1546 2594 3092 5188 6184 10376 12368 20752 597529 1002581 1195058 1682209 2005162 2390116 3364418 4010324 4780232 6728836 8020648 9560464 13457672 16041296 26915344 774995113 1300347557 1549990226 2600695114 3099980452 5201390228 6199960904 10402780456 12399921808 20805560912 1005168661561 2010337323122 4020674646244 8041349292488 16082698584976