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10730153728 = 28724472
BaseRepresentation
bin10011111111001000…
…10010011100000000
31000200210200021202001
421333210102130000
5133433404404403
64532424233344
7526621542010
oct117744223400
930623607661
1010730153728
11460698a348
1220b560b854
1310200567b8
1473b109c40
1542c039c1d
hex27f912700

10730153728 has 54 divisors (see below), whose sum is σ = 24488170616. Its totient is φ = 4596758016.

The previous prime is 10730153723. The next prime is 10730153779. The reversal of 10730153728 is 82735103701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10730153723) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4383801 + ... + 4386247.

Almost surely, 210730153728 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 10730153728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12244085308).

10730153728 is an abundant number, since it is smaller than the sum of its proper divisors (13758016888).

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

10730153728 is an frugal number, since it uses more digits than its factorization.

10730153728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4917 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 10730153728 in words is "ten billion, seven hundred thirty million, one hundred fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 2447 4894 9788 17129 19576 34258 39152 68516 78304 137032 156608 274064 313216 548128 626432 1096256 2192512 4385024 5987809 11975618 23951236 41914663 47902472 83829326 95804944 167658652 191609888 335317304 383219776 670634608 766439552 1341269216 1532879104 2682538432 5365076864 10730153728