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20454849090468 = 223213314019350809
BaseRepresentation
bin1001010011010100001000…
…00000111001001110100100
32200102110112121021100212200
410221222010000321032210
510140113012331343333
6111300454500414500
74210546141344432
oct451520400711644
980373477240780
1020454849090468
116576942066971
1223643536a7430
13b54b651937a0
1450a03cb6bd52
15257126bbbc13
hex129a840393a4

20454849090468 has 144 divisors (see below), whose sum is σ = 57493324761600. Its totient is φ = 6089241070080.

The previous prime is 20454849090463. The next prime is 20454849090491. The reversal of 20454849090468 is 86409094845402.

20454849090468 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 4 + 84 + 9 + 0 + 90 + 468 = 666.

It is not an unprimeable number, because it can be changed into a prime (20454849090463) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 58132248 + ... + 58483056.

Almost surely, 220454849090468 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 20454849090468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28746662380800).

20454849090468 is an abundant number, since it is smaller than the sum of its proper divisors (37038475671132).

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

20454849090468 is a wasteful number, since it uses less digits than its factorization.

20454849090468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354882 (or 354877 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 20454849090468 in words is "twenty trillion, four hundred fifty-four billion, eight hundred forty-nine million, ninety thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3627 4019 4836 7254 8038 12057 14508 16076 24114 36171 48228 52247 72342 104494 124589 144684 156741 208988 249178 313482 350809 373767 470223 498356 626964 701618 747534 940446 1052427 1121301 1403236 1495068 1619657 1880892 2104854 2242602 3157281 3239314 4209708 4485204 4560517 4858971 6314562 6478628 9121034 9717942 10875079 12629124 13681551 14576913 18242068 19435884 21750158 27363102 29153826 32625237 41044653 43500316 54726204 58307652 65250474 82089306 97875711 130500948 141376027 164178612 195751422 282752054 391502844 424128081 565504108 848256162 1272384243 1409901371 1696512324 2544768486 2819802742 4229704113 5089536972 5639605484 8459408226 12689112339 16918816452 18328717823 25378224678 36657435646 43706942501 50756449356 54986153469 73314871292 87413885002 109972306938 131120827503 164958460407 174827770004 219944613876 262241655006 329916920814 393362482509 524483310012 568190252513 659833841628 786724965018 1136380505026 1573449930036 1704570757539 2272761010052 3409141515078 5113712272617 6818283030156 10227424545234 20454849090468