Search a number
-
+
10754204246346 = 2311533839538423
BaseRepresentation
bin1001110001111110100010…
…0001100010000101001010
31102002002110222120122221210
42130133220201202011022
52402144102241340341
634512225131313550
72156652130561461
oct234375041420512
942062428518853
1010754204246346
113476917a32220
1212582a12ab8b6
1360016a3998c2
142927132839d8
15139b1ca0cc16
hex9c7e886214a

10754204246346 has 128 divisors (see below), whose sum is σ = 23996848472064. Its totient is φ = 3185289336320.

The previous prime is 10754204246323. The next prime is 10754204246351. The reversal of 10754204246346 is 64364240245701.

It is a junction number, because it is equal to n+sod(n) for n = 10754204246295 and 10754204246304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1276762291 + ... + 1276770713.

It is an arithmetic number, because the mean of its divisors is an integer number (187475378688).

Almost surely, 210754204246346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10754204246346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11998424236032).

10754204246346 is an abundant number, since it is smaller than the sum of its proper divisors (13242644225718).

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

10754204246346 is a wasteful number, since it uses less digits than its factorization.

10754204246346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9828.

The product of its (nonzero) digits is 3870720, while the sum is 48.

The spelling of 10754204246346 in words is "ten trillion, seven hundred fifty-four billion, two hundred four million, two hundred forty-six thousand, three hundred forty-six".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 318 383 583 766 953 1149 1166 1749 1906 2298 2859 3498 4213 5718 8423 8426 10483 12639 16846 20299 20966 25269 25278 31449 40598 50509 50538 60897 62898 92653 101018 121794 151527 185306 223289 277959 303054 364999 446419 446578 555599 555918 669867 729998 892838 1094997 1111198 1339257 1339734 1666797 2189994 2678514 3226009 3333594 4014989 4910609 6452018 8027119 8029978 9678027 9821218 12044967 14731827 16054238 19344947 19356054 24081357 24089934 29463654 35486099 38689894 48162714 58034841 70972198 88298309 106458297 116069682 170978477 176596618 212794417 212916594 264894927 341956954 425437307 425588834 512935431 529789854 638383251 850874614 1025870862 1276311921 1276766502 1880763247 2552623842 3074386577 3761526494 4679810377 5642289741 6148773154 9223159731 9359620754 11284579482 14039431131 18446319462 28078862262 33818252347 67636504694 101454757041 162942488581 202909514082 325884977162 488827465743 977654931486 1792367374391 3584734748782 5377102123173 10754204246346