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20622616414452 = 223213532573235109
BaseRepresentation
bin1001011000001100100111…
…01110011100100011110100
32201000111120121002110021200
410230012103232130203310
510200340104300230302
6111505522120412500
74225635442151163
oct454062356344364
981014517073250
1020622616414452
116631003376548
122390974617130
13b679206b81b0
145141d609d3da
1525b6954e381c
hex12c193b9c8f4

20622616414452 has 144 divisors (see below), whose sum is σ = 57421157910480. Its totient is φ = 6201469108224.

The previous prime is 20622616414403. The next prime is 20622616414481. The reversal of 20622616414452 is 25441461622602.

20622616414452 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 26 + 164 + 14 + 452 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26304298596 + 20596312115856 = 162186^2 + 4538316^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20622616414398 and 20622616414407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4757074 + ... + 7992182.

It is an arithmetic number, because the mean of its divisors is an integer number (398758041045).

Almost surely, 220622616414452 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 20622616414452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28710578955240).

20622616414452 is an abundant number, since it is smaller than the sum of its proper divisors (36798541496028).

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

20622616414452 is a wasteful number, since it uses less digits than its factorization.

20622616414452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235442 (or 3235437 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 20622616414452 in words is "twenty trillion, six hundred twenty-two billion, six hundred sixteen million, four hundred fourteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 257 318 468 477 514 636 689 771 954 1028 1378 1542 1908 2067 2313 2756 3084 3341 4134 4626 6201 6682 8268 9252 10023 12402 13364 13621 20046 24804 27242 30069 40092 40863 54484 60138 81726 120276 122589 163452 177073 245178 354146 490356 531219 708292 1062438 1593657 2124876 3187314 3235109 6374628 6470218 9705327 12940436 19410654 29115981 38821308 42056417 58231962 84112834 116463924 126169251 168225668 171460777 252338502 342921554 378507753 504677004 514382331 685843108 757015506 831423013 1028764662 1514031012 1543146993 1662846026 2057529324 2228990101 2494269039 3086293986 3325692052 4457980202 4988538078 6172587972 6686970303 7482807117 8915960404 9977076156 10808499169 13373940606 14965614234 20060910909 21616998338 26747881212 29931228468 32425497507 40121821818 43233996676 44065419689 64850995014 80243643636 88130839378 97276492521 129701990028 132196259067 176261678756 194552985042 264392518134 389105970084 396588777201 528785036268 572850455957 793177554402 1145700911914 1586355108804 1718551367871 2291401823828 3437102735742 5155654103613 6874205471484 10311308207226 20622616414452