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10690199040 = 29354332371
BaseRepresentation
bin10011111010010111…
…10111111000000000
31000121000111101012210
421331023313320000
5133343142332130
64524440022120
7525625123023
oct117513677000
930530441183
1010690199040
11459637a844
1220a4161940
1310149a7781
14735aa91ba
154287965b0
hex27d2f7e00

10690199040 has 160 divisors (see below), whose sum is σ = 34971083136. Its totient is φ = 2784337920.

The previous prime is 10690199027. The next prime is 10690199041. The reversal of 10690199040 is 4099109601.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×106901990402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10690199040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10690199041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314055 + ... + 346425.

Almost surely, 210690199040 is an apocalyptic number.

10690199040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10690199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17485541568).

10690199040 is an abundant number, since it is smaller than the sum of its proper divisors (24280884096).

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

10690199040 is an equidigital number, since it uses as much as digits as its factorization.

10690199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32440 (or 32424 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The spelling of 10690199040 in words is "ten billion, six hundred ninety million, one hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 256 258 320 344 384 430 480 512 516 640 645 688 768 860 960 1032 1280 1290 1376 1536 1720 1920 2064 2560 2580 2752 3440 3840 4128 5160 5504 6880 7680 8256 10320 11008 13760 16512 20640 22016 27520 32371 33024 41280 55040 64742 66048 82560 97113 110080 129484 161855 165120 194226 258968 323710 330240 388452 485565 517936 647420 776904 971130 1035872 1294840 1391953 1553808 1942260 2071744 2589680 2783906 3107616 3884520 4143488 4175859 5179360 5567812 6215232 6959765 7769040 8286976 8351718 10358720 11135624 12430464 13919530 15538080 16573952 16703436 20717440 20879295 22271248 24860928 27839060 31076160 33406872 41434880 41758590 44542496 49721856 55678120 62152320 66813744 82869760 83517180 89084992 111356240 124304640 133627488 167034360 178169984 222712480 248609280 267254976 334068720 356339968 445424960 534509952 668137440 712679936 890849920 1069019904 1336274880 1781699840 2138039808 2672549760 3563399680 5345099520 10690199040