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10961474048 = 29726612
BaseRepresentation
bin10100011010101101…
…01101001000000000
31001021220221120120022
422031112231020000
5134422114132143
65011410233012
7535430664200
oct121526551000
931256846508
1010961474048
114715514768
12215ab85768
131058c58a25
1475db22400
154424ce268
hex28d5ad200

10961474048 has 90 divisors (see below), whose sum is σ = 25515902313. Its totient is φ = 4690667520.

The previous prime is 10961474033. The next prime is 10961474057. The reversal of 10961474048 is 84047416901.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 9913786624 + 1047687424 = 99568^2 + 32368^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=74032.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16582838 + ... + 16583498.

Almost surely, 210961474048 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 10961474048

10961474048 is an abundant number, since it is smaller than the sum of its proper divisors (14554428265).

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

10961474048 is an frugal number, since it uses more digits than its factorization.

10961474048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 10961474048 in words is "ten billion, nine hundred sixty-one million, four hundred seventy-four thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 661 784 896 1322 1568 1792 2644 3136 3584 4627 5288 6272 9254 10576 12544 18508 21152 25088 32389 37016 42304 64778 74032 84608 129556 148064 169216 259112 296128 338432 436921 518224 592256 873842 1036448 1184512 1747684 2072896 2369024 3058447 3495368 4145792 6116894 6990736 8291584 12233788 13981472 16583168 21409129 24467576 27962944 42818258 48935152 55925888 85636516 97870304 111851776 171273032 195740608 223703552 342546064 391481216 685092128 782962432 1370184256 1565924864 2740368512 5480737024 10961474048