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9047268672 = 2631312728541
BaseRepresentation
bin10000110110100001…
…00101110101000000
3212100112000212102220
420123100211311000
5122012100044142
64053430211040
7440125341411
oct103320456500
925315025386
109047268672
113922a46952
121905ab3a80
13b124c0420
1461b7db808
1537e4172ec
hex21b425d40

9047268672 has 112 divisors (see below), whose sum is σ = 25982810112. Its totient is φ = 2761758720.

The previous prime is 9047268647. The next prime is 9047268673. The reversal of 9047268672 is 2768627409.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9047268673) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 302722 + ... + 331262.

It is an arithmetic number, because the mean of its divisors is an integer number (231989376).

Almost surely, 29047268672 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 9047268672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12991405056).

9047268672 is an abundant number, since it is smaller than the sum of its proper divisors (16935541440).

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

9047268672 is a wasteful number, since it uses less digits than its factorization.

9047268672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28696 (or 28686 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The square root of 9047268672 is about 95117.1313276426. The cubic root of 9047268672 is about 2083.7190514804.

The spelling of 9047268672 in words is "nine billion, forty-seven million, two hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 127 156 192 208 254 312 381 416 508 624 762 832 1016 1248 1524 1651 2032 2496 3048 3302 4064 4953 6096 6604 8128 9906 12192 13208 19812 24384 26416 28541 39624 52832 57082 79248 85623 105664 114164 158496 171246 228328 316992 342492 371033 456656 684984 742066 913312 1113099 1369968 1484132 1826624 2226198 2739936 2968264 3624707 4452396 5479872 5936528 7249414 8904792 10874121 11873056 14498828 17809584 21748242 23746112 28997656 35619168 43496484 47121191 57995312 71238336 86992968 94242382 115990624 141363573 173985936 188484764 231981248 282727146 347971872 376969528 565454292 695943744 753939056 1130908584 1507878112 2261817168 3015756224 4523634336 9047268672