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10838630912 = 294321072
BaseRepresentation
bin10100001100000100…
…00110001000000000
31000222100210111110112
422012002012020000
5134144142142122
64551301250452
7532406562014
oct120602061000
930870714415
1010838630912
11466214090a
122125a03a28
131039677995
1474b6a6544
154368162e2
hex286086200

10838630912 has 90 divisors (see below), whose sum is σ = 22380581223. Its totient is φ = 5243814912.

The previous prime is 10838630899. The next prime is 10838630917. The reversal of 10838630912 is 21903683801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 5419315456 + 5419315456 = 73616^2 + 73616^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=73616.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10838630912.

It is not an unprimeable number, because it can be changed into a prime (10838630917) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 101295563 + ... + 101295669.

Almost surely, 210838630912 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 10838630912

10838630912 is an abundant number, since it is smaller than the sum of its proper divisors (11541950311).

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

10838630912 is an frugal number, since it uses more digits than its factorization.

10838630912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 10838630912 in words is "ten billion, eight hundred thirty-eight million, six hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 86 107 128 172 214 256 344 428 512 688 856 1376 1712 1849 2752 3424 3698 4601 5504 6848 7396 9202 11008 11449 13696 14792 18404 22016 22898 27392 29584 36808 45796 54784 59168 73616 91592 118336 147232 183184 197843 236672 294464 366368 395686 473344 492307 588928 732736 791372 946688 984614 1177856 1465472 1582744 1969228 2355712 2930944 3165488 3938456 5861888 6330976 7876912 12661952 15753824 21169201 25323904 31507648 42338402 50647808 63015296 84676804 101295616 126030592 169353608 252061184 338707216 677414432 1354828864 2709657728 5419315456 10838630912