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9890938112 = 281119318199
BaseRepresentation
bin10010011011000101…
…11011110100000000
3221112022112201100012
421031202323310000
5130224040004422
64313245044052
7500051405156
oct111542736400
927468481305
109890938112
1142161a4220
121b00556628
13c18223103
1469b8933d6
153cd5184e2
hex24d8bbd00

9890938112 has 72 divisors (see below), whose sum is σ = 21650865600. Its totient is φ = 4472340480.

The previous prime is 9890938103. The next prime is 9890938133. The reversal of 9890938112 is 2118390989.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534389 + ... + 552587.

Almost surely, 29890938112 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 9890938112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10825432800).

9890938112 is an abundant number, since it is smaller than the sum of its proper divisors (11759927488).

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

9890938112 is a wasteful number, since it uses less digits than its factorization.

9890938112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18419 (or 18405 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 50.

The square root of 9890938112 is about 99453.1955846568. The cubic root of 9890938112 is about 2146.5738191821.

The spelling of 9890938112 in words is "nine billion, eight hundred ninety million, nine hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 193 256 352 386 704 772 1408 1544 2123 2816 3088 4246 6176 8492 12352 16984 18199 24704 33968 36398 49408 67936 72796 135872 145592 200189 271744 291184 400378 543488 582368 800756 1164736 1601512 2329472 3203024 3512407 4658944 6406048 7024814 12812096 14049628 25624192 28099256 38636477 51248384 56198512 77272954 112397024 154545908 224794048 309091816 449588096 618183632 899176192 1236367264 2472734528 4945469056 9890938112