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1996677754056 = 2333412029111119
BaseRepresentation
bin11101000011100011010…
…001001010110011001000
321001212202220110021022000
4131003203101022303020
5230203144001112211
64125132221431000
7264153351610566
oct35034321126310
97055686407260
101996677754056
116aa8715a2287
12282b7740b460
1311639419357b
146c8d5562a36
1536e114d3656
hex1d0e344acc8

1996677754056 has 128 divisors (see below), whose sum is σ = 5684454720000. Its totient is φ = 649000235520.

The previous prime is 1996677754031. The next prime is 1996677754061. The reversal of 1996677754056 is 6504577766991.

1996677754056 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 6 + 7 + 77 + 540 + 5 + 6 = 666.

It is a super-2 number, since 2×19966777540562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17913265 + ... + 18024383.

It is an arithmetic number, because the mean of its divisors is an integer number (44409802500).

Almost surely, 21996677754056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1996677754056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842227360000).

1996677754056 is an abundant number, since it is smaller than the sum of its proper divisors (3687776965944).

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

1996677754056 is a wasteful number, since it uses less digits than its factorization.

1996677754056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113204 (or 113194 counting only the distinct ones).

The product of its (nonzero) digits is 600112800, while the sum is 72.

The spelling of 1996677754056 in words is "one trillion, nine hundred ninety-six billion, six hundred seventy-seven million, seven hundred fifty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2029 2214 2952 4058 4428 6087 8116 8856 12174 16232 18261 24348 36522 48696 54783 73044 83189 109566 111119 146088 166378 219132 222238 249567 332756 333357 438264 444476 499134 665512 666714 748701 888952 998268 1000071 1333428 1497402 1996536 2000142 2246103 2666856 2994804 3000213 4000284 4492206 4555879 5989608 6000426 8000568 8984412 9111758 12000852 13667637 17968824 18223516 24001704 27335274 36447032 41002911 54670548 82005822 109341096 123008733 164011644 225460451 246017466 328023288 450920902 492034932 676381353 901841804 984069864 1352762706 1803683608 2029144059 2705525412 4058288118 5411050824 6087432177 8116576236 9243878491 12174864354 16233152472 18487756982 24349728708 27731635473 36975513964 48699457416 55463270946 73951027928 83194906419 110926541892 166389812838 221853083784 249584719257 332779625676 499169438514 665559251352 998338877028 1996677754056