Search a number
-
+
3373670034036 = 22324316360722027
BaseRepresentation
bin110001000101111110011…
…001110110101001110100
3102221112000212100210022100
4301011332121312221310
5420233234012042121
611101502001102100
7465511455065661
oct61057631665164
912845025323270
103373670034036
111090846867a25
12465a0b327930
131b619c237413
14b9402230a68
155cb5480b026
hex3117e676a74

3373670034036 has 144 divisors (see below), whose sum is σ = 8794609567744. Its totient is φ = 1089817581888.

The previous prime is 3373670034023. The next prime is 3373670034037. The reversal of 3373670034036 is 6304300763733.

It is a super-2 number, since 2×33736700340362 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3373670033982 and 3373670034000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3373670034037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153149655 + ... + 153171681.

Almost surely, 23373670034036 is an apocalyptic number.

3373670034036 is a gapful number since it is divisible by the number (36) 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 3373670034036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397304783872).

3373670034036 is an abundant number, since it is smaller than the sum of its proper divisors (5420939533708).

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

3373670034036 is a wasteful number, since it uses less digits than its factorization.

3373670034036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22850 (or 22845 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 45.

Adding to 3373670034036 its reverse (6304300763733), we get a palindrome (9677970797769).

The spelling of 3373670034036 in words is "three trillion, three hundred seventy-three billion, six hundred seventy million, thirty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 163 172 258 326 387 489 516 607 652 774 978 1214 1467 1548 1821 1956 2428 2934 3642 5463 5868 7009 7284 10926 14018 21027 21852 22027 26101 28036 42054 44054 52202 63081 66081 78303 84108 88108 98941 104404 126162 132162 156606 197882 198243 234909 252324 264324 296823 313212 395764 396486 469818 593646 792972 890469 939636 947161 1187292 1780938 1894322 2841483 3561876 3590401 3788644 4254463 5682966 7180802 8508926 8524449 10771203 11365932 12763389 13370389 14361604 17017852 17048898 21542406 25526778 26740778 32313609 34097796 38290167 40111167 43084812 51053556 53481556 64627218 76580334 80222334 120333501 129254436 153160668 154387243 160444668 240667002 308774486 463161729 481334004 574926727 617548972 926323458 1149853454 1389485187 1724780181 1852646916 2179373407 2299706908 2778970374 3449560362 4358746814 5174340543 5557940748 6538120221 6899120724 8717493628 10348681086 13076240442 19614360663 20697362172 26152480884 39228721326 78457442652 93713056501 187426113002 281139169503 374852226004 562278339006 843417508509 1124556678012 1686835017018 3373670034036