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10085490944 = 2841960889
BaseRepresentation
bin10010110010010010…
…00110000100000000
3222000212122000122122
421121021012010000
5131123341202234
64344435023412
7504633154454
oct113111060400
928025560578
1010085490944
114305aa6691
121b5573ab68
13c49620c29
146b9658664
153e064892e
hex259246100

10085490944 has 36 divisors (see below), whose sum is σ = 20622621180. Its totient is φ = 4919746560.

The previous prime is 10085490931. The next prime is 10085490959. The reversal of 10085490944 is 44909458001.

It can be written as a sum of positive squares in 2 ways, for example, as 847974400 + 9237516544 = 29120^2 + 96112^2 .

It is a super-2 number, since 2×100854909442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10085490895 and 10085490904.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 469949 + ... + 490940.

Almost surely, 210085490944 is an apocalyptic number.

It is an amenable number.

10085490944 is an abundant number, since it is smaller than the sum of its proper divisors (10537130236).

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

10085490944 is an frugal number, since it uses more digits than its factorization.

10085490944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960946 (or 960932 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 10085490944 in words is "ten billion, eighty-five million, four hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 2624 5248 10496 960889 1921778 3843556 7687112 15374224 30748448 39396449 61496896 78792898 122993792 157585796 245987584 315171592 630343184 1260686368 2521372736 5042745472 10085490944