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20008319440356 = 2232132573472
BaseRepresentation
bin1001000110010100011001…
…10001011101010111100100
32121211202222011221212100100
410203022030301131113210
510110304014234042411
6110315410044344100
74133360544060012
oct443121461352744
977752864855310
1020008319440356
116414531787785
1222b18b5845030
13b21a12a70400
144d259d1198b2
1524a6e0430456
hex12328cc5d5e4

20008319440356 has 81 divisors (see below), whose sum is σ = 54767316561321. Its totient is φ = 6156298628064.

The previous prime is 20008319440337. The next prime is 20008319440387. The reversal of 20008319440356 is 65304491380002.

The square root of 20008319440356 is 4473066.

It is a perfect power (a square), and thus also a powerful number.

20008319440356 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 8 + 3 + 194 + 403 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2959810568100 + 17048508872256 = 1720410^2 + 4128984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 348870475 + ... + 348927821.

Almost surely, 220008319440356 is an apocalyptic number.

20008319440356 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20008319440356 is the 4473066-th square number.

It is an amenable number.

20008319440356 is an abundant number, since it is smaller than the sum of its proper divisors (34758997120965).

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

20008319440356 is an frugal number, since it uses more digits than its factorization.

20008319440356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114730 (or 57365 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20008319440356 in words is "twenty trillion, eight billion, three hundred nineteen million, four hundred forty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 57347 114694 172041 229388 344082 516123 688164 745511 1032246 1491022 2064492 2236533 2982044 4473066 6709599 8946132 9691643 13419198 19383286 26838396 29074929 38766572 58149858 87224787 116299716 174449574 348899148 3288678409 6577356818 9866035227 13154713636 19732070454 29598105681 39464140908 42752819317 59196211362 85505638634 118392422724 128258457951 171011277268 256516915902 384775373853 513033831804 555786651121 769550747706 1111573302242 1539101495412 1667359953363 2223146604484 3334719906726 5002079860089 6669439813452 10004159720178 20008319440356