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20566157216256 = 29339343159233
BaseRepresentation
bin1001010110100011011100…
…11111101100101000000000
32200211002211212011000111000
410223101232133230220000
510143423442221410011
6111423543500052000
74221566355660621
oct453215637545000
980732755130430
1020566157216256
11660a070654273
122381a38534000
13b624c36b2102
1451159b989a48
15259e8da5c356
hex12b46e7eca00

20566157216256 has 160 divisors (see below), whose sum is σ = 60884151736320. Its totient is φ = 6854608945152.

The previous prime is 20566157216221. The next prime is 20566157216279. The reversal of 20566157216256 is 65261275166502.

20566157216256 is a `hidden beast` number, since 2 + 0 + 5 + 6 + 6 + 1 + 5 + 7 + 2 + 1 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129078016 + ... + 129237248.

It is an arithmetic number, because the mean of its divisors is an integer number (380525948352).

Almost surely, 220566157216256 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 20566157216256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30442075868160).

20566157216256 is an abundant number, since it is smaller than the sum of its proper divisors (40317994520064).

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

20566157216256 is an equidigital number, since it uses as much as digits as its factorization.

20566157216256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168603 (or 168581 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 20566157216256 in words is "twenty trillion, five hundred sixty-six billion, one hundred fifty-seven million, two hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 9343 13824 18686 28029 37372 56058 74744 84087 112116 149488 159233 168174 224232 252261 298976 318466 336348 448464 477699 504522 597952 636932 672696 896928 955398 1009044 1195904 1273864 1345392 1433097 1793856 1910796 2018088 2391808 2547728 2690784 2866194 3587712 3821592 4036176 4299291 4783616 5095456 5381568 5732388 7175424 7643184 8072352 8598582 10190912 10763136 11464776 14350848 15286368 16144704 17197164 20381824 21526272 22929552 30572736 32289408 34394328 40763648 43052544 45859104 61145472 64578816 68788656 81527296 91718208 122290944 129157632 137577312 183436416 244581888 275154624 366872832 550309248 733745664 1100618496 1487713919 2201236992 2975427838 4463141757 5950855676 8926283514 11901711352 13389425271 17852567028 23803422704 26778850542 35705134056 40168275813 47606845408 53557701084 71410268112 80336551626 95213690816 107115402168 142820536224 160673103252 190427381632 214230804336 285641072448 321346206504 380854763264 428461608672 571282144896 642692413008 761709526528 856923217344 1142564289792 1285384826016 1713846434688 2285128579584 2570769652032 3427692869376 5141539304064 6855385738752 10283078608128 20566157216256