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9048364992 = 2632148110607
BaseRepresentation
bin10000110110101001…
…10001011111000000
3212100121002120022100
420123110301133000
5122012340134432
64053505510400
7440140555602
oct103324613700
925317076270
109048364992
1139236255a7
121906342400
13b127b5434
1461ba05172
1537e58207c
hex21b5317c0

9048364992 has 84 divisors (see below), whose sum is σ = 25955463456. Its totient is φ = 3013800960.

The previous prime is 9048364991. The next prime is 9048364993. The reversal of 9048364992 is 2994638409.

It is an interprime number because it is at equal distance from previous prime (9048364991) and next prime (9048364993).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9048364991) 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, 847753 + ... + 858359.

Almost surely, 29048364992 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 9048364992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12977731728).

9048364992 is an abundant number, since it is smaller than the sum of its proper divisors (16907098464).

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

9048364992 is a wasteful number, since it uses less digits than its factorization.

9048364992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12106 (or 12093 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 9048364992 is about 95122.8941527748. The cubic root of 9048364992 is about 2083.8032142882.

The spelling of 9048364992 in words is "nine billion, forty-eight million, three hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1481 2962 4443 5924 8886 10607 11848 13329 17772 21214 23696 26658 31821 35544 42428 47392 53316 63642 71088 84856 94784 95463 106632 127284 142176 169712 190926 213264 254568 284352 339424 381852 426528 509136 678848 763704 853056 1018272 1527408 2036544 3054816 6109632 15708967 31417934 47126901 62835868 94253802 125671736 141380703 188507604 251343472 282761406 377015208 502686944 565522812 754030416 1005373888 1131045624 1508060832 2262091248 3016121664 4524182496 9048364992