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10621831789648 = 242921985339761
BaseRepresentation
bin1001101010010001011010…
…0000101011110001010000
31101121102210201110010120101
42122210112200223301100
52343012002414232043
634331334022222144
72144254615344652
oct232442640536120
941542721403511
1010621831789648
11342576a153282
1212366b9b84954
135c0832b31151
1428a156a886d2
1513647176424d
hex9a91682bc50

10621831789648 has 60 divisors (see below), whose sum is σ = 21315527630748. Its totient is φ = 5127393617920.

The previous prime is 10621831789643. The next prime is 10621831789651. The reversal of 10621831789648 is 84698713812601.

It can be written as a sum of positive squares in 6 ways, for example, as 1671156023824 + 8950675765824 = 1292732^2 + 2991768^2 .

It is a super-2 number, since 2×106218317896482 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10621831789648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10621831789643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267122088 + ... + 267161848.

Almost surely, 210621831789648 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 10621831789648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10657763815374).

10621831789648 is an abundant number, since it is smaller than the sum of its proper divisors (10693695841100).

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

10621831789648 is a wasteful number, since it uses less digits than its factorization.

10621831789648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59680 (or 59645 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 64.

The spelling of 10621831789648 in words is "ten trillion, six hundred twenty-one billion, eight hundred thirty-one million, seven hundred eighty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 6728 13456 19853 39706 39761 79412 79522 158824 159044 317648 318088 575737 636176 1151474 1153069 2302948 2306138 4605896 4612276 9211792 9224552 16696373 18449104 33392746 33439001 66785492 66878002 133570984 133756004 267141968 267512008 535024016 789375133 1578750266 3157500532 6315001064 12630002128 22891878857 45783757714 91567515428 183135030856 366270061712 663864486853 1327728973706 2655457947412 5310915894824 10621831789648