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10109078672 = 2472113137813
BaseRepresentation
bin10010110101000110…
…00100110010010000
3222002112000101221012
421122203010302100
5131200411004142
64351040350052
7505340515400
oct113243046220
928075011835
1010109078672
114318347480
121b61615328
13c5148c374
146bc838800
153e2757882
hex25a8c4c90

10109078672 has 120 divisors (see below), whose sum is σ = 25657857792. Its totient is φ = 3811449600.

The previous prime is 10109078633. The next prime is 10109078677. The reversal of 10109078672 is 27687090101.

It is not an unprimeable number, because it can be changed into a prime (10109078677) 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 23 ways as a sum of consecutive naturals, for example, 248438 + ... + 286250.

Almost surely, 210109078672 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 10109078672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12828928896).

10109078672 is an abundant number, since it is smaller than the sum of its proper divisors (15548779120).

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

10109078672 is a wasteful number, since it uses less digits than its factorization.

10109078672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37877 (or 37864 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 41.

The spelling of 10109078672 in words is "ten billion, one hundred nine million, seventy-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 49 56 62 77 88 98 112 124 154 176 196 217 248 308 341 392 434 496 539 616 682 784 868 1078 1232 1364 1519 1736 2156 2387 2728 3038 3472 4312 4774 5456 6076 8624 9548 12152 16709 19096 24304 33418 37813 38192 66836 75626 133672 151252 264691 267344 302504 415943 529382 605008 831886 1058764 1172203 1663772 1852837 2117528 2344406 2911601 3327544 3705674 4235056 4688812 5823202 6655088 7411348 8205421 9377624 11646404 12894233 14822696 16410842 18755248 20381207 23292808 25788466 29645392 32821684 40762414 46585616 51576932 57437947 65643368 81524828 90259631 103153864 114875894 131286736 163049656 180519262 206307728 229751788 326099312 361038524 459503576 631817417 722077048 919007152 1263634834 1444154096 2527269668 5054539336 10109078672