Search a number
-
+
20465061872256 = 273354413108827
BaseRepresentation
bin1001010011100111001001…
…01111100100001010000000
32200110102220100102102202000
410221303210233210022000
510140244421314403011
6111305304124024000
74211360211510441
oct451634457441200
980412810372660
1020465061872256
1165802029a3aa1
122366323992000
13b55b01c92031
1450a72b27d2c8
152575235ab356
hex129ce4be4280

20465061872256 has 128 divisors (see below), whose sum is σ = 60402021278400. Its totient is φ = 6821499239424.

The previous prime is 20465061872207. The next prime is 20465061872279. The reversal of 20465061872256 is 65227816056402.

20465061872256 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 506 + 1 + 87 + 2 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187996915 + ... + 188105741.

Almost surely, 220465061872256 is an apocalyptic number.

It is an amenable number.

20465061872256 is an abundant number, since it is smaller than the sum of its proper divisors (39936959406144).

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

20465061872256 is a wasteful number, since it uses less digits than its factorization.

20465061872256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163263 (or 163245 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 20465061872256 in words is "twenty trillion, four hundred sixty-five billion, sixty-one million, eight hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 54413 108826 108827 163239 217652 217654 326478 326481 435304 435308 489717 652956 652962 870608 870616 979434 979443 1305912 1305924 1469151 1741216 1741232 1958868 1958886 2611824 2611848 2938302 2938329 3482432 3482464 3917736 3917772 5223648 5223696 5876604 5876658 6964864 6964928 7835472 7835544 10447296 10447392 11753208 11753316 13929856 15670944 15671088 20894592 20894784 23506416 23506632 31341888 31342176 41789568 47012832 47013264 62683776 62684352 94025664 94026528 125368704 188051328 188053056 376106112 5921603551 11843207102 17764810653 23686414204 35529621306 47372828408 53294431959 71059242612 94745656816 106588863918 142118485224 159883295877 189491313632 213177727836 284236970448 319766591754 378982627264 426355455672 568473940896 639533183508 757965254528 852710911344 1136947881792 1279066367016 1705421822688 2273895763584 2558132734032 3410843645376 5116265468064 6821687290752 10232530936128 20465061872256