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1676077193956 = 221128327092
BaseRepresentation
bin11000011000111101111…
…111000101101011100100
312221020020200221100201111
4120120331333011223210
5204430101230201311
63321551303034404
7232043520040234
oct30307577055344
95836220840644
101676077193956
11596902976300
12230a02a3ba04
13c2090426539
145b1a0487cc4
152d8ea4c9d21
hex1863dfc5ae4

1676077193956 has 81 divisors (see below), whose sum is σ = 3267945407433. Its totient is φ = 751612715040.

The previous prime is 1676077193939. The next prime is 1676077193957. The reversal of 1676077193956 is 6593917706761.

The square root of 1676077193956 is 1294634.

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

It can be written as a sum of positive squares in only one way, i.e., 223666568356 + 1452410625600 = 472934^2 + 1205160^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1676077193891 and 1676077193900.

It is not an unprimeable number, because it can be changed into a prime (1676077193957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2364001330 + ... + 2364002038.

Almost surely, 21676077193956 is an apocalyptic number.

1676077193956 is the 1294634-th square number.

It is an amenable number.

1676077193956 is a deficient number, since it is larger than the sum of its proper divisors (1591868213477).

1676077193956 is an frugal number, since it uses more digits than its factorization.

1676077193956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 90016920, while the sum is 67.

The spelling of 1676077193956 in words is "one trillion, six hundred seventy-six billion, seventy-seven million, one hundred ninety-three thousand, nine hundred fifty-six".

Divisors: 1 2 4 11 22 44 83 121 166 242 332 484 709 913 1418 1826 2836 3652 6889 7799 10043 13778 15598 20086 27556 31196 40172 58847 75779 85789 117694 151558 171578 235388 303116 343156 502681 647317 833569 1005362 1294634 1667138 2010724 2589268 3334276 4884301 5529491 7120487 9768602 11058982 14240974 19537204 22117964 28481948 41722523 53727311 60824401 83445046 107454622 121648802 166890092 214909244 243297604 458947753 591000421 917895506 1182000842 1835791012 2364001684 3462969409 5048425283 6925938818 10096850566 13851877636 20193701132 38092663499 76185326998 152370653996 419019298489 838038596978 1676077193956