Search a number
-
+
50114435454 = 23419231813911
BaseRepresentation
bin101110101011000011…
…011001100101111110
311210100120011002120000
4232223003121211332
51310113243413304
635004450135130
73422611446546
oct565303314576
9153316132500
1050114435454
111a287324106
1298672814a6
134958698c05
1425d59dc326
15148494b939
hexbab0d997e

50114435454 has 160 divisors (see below), whose sum is σ = 124056092160. Its totient is φ = 15050059200.

The previous prime is 50114435443. The next prime is 50114435461. The reversal of 50114435454 is 45453441105.

50114435454 is a `hidden beast` number, since 50 + 114 + 43 + 5 + 454 = 666.

It is a super-2 number, since 2×501144354542 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12811759 + ... + 12815669.

It is an arithmetic number, because the mean of its divisors is an integer number (775350576).

Almost surely, 250114435454 is an apocalyptic number.

50114435454 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 50114435454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62028046080).

50114435454 is an abundant number, since it is smaller than the sum of its proper divisors (73941656706).

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

50114435454 is a wasteful number, since it uses less digits than its factorization.

50114435454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 50114435454 its reverse (45453441105), we get a palindrome (95567876559).

The spelling of 50114435454 in words is "fifty billion, one hundred fourteen million, four hundred thirty-five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 81 114 138 162 171 181 207 342 362 414 437 513 543 621 874 1026 1086 1242 1311 1539 1629 1863 2622 3078 3258 3439 3726 3911 3933 4163 4887 6878 7822 7866 8326 9774 10317 11733 11799 12489 14661 20634 23466 23598 24978 29322 30951 35199 35397 37467 61902 70398 70794 74309 74934 79097 89953 92853 105597 112401 148618 158194 179906 185706 211194 222927 224802 237291 269859 278559 316791 337203 445854 474582 539718 557118 633582 668781 674406 707891 711873 809577 1337562 1415782 1423746 1619154 1709107 2006343 2123673 2135619 2428731 3418214 4012686 4247346 4271238 4857462 5127321 6019029 6371019 6406857 7286193 10254642 12038058 12742038 12813714 13449929 14572386 15381963 16281493 19113057 26899858 30763926 32562986 38226114 40349787 46145889 48844479 57339171 80699574 92291778 97688958 114678342 121049361 138437667 146533437 242098722 276875334 293066874 309348367 363148083 439600311 618696734 726296166 879200622 928045101 1089444249 1318800933 1856090202 2178888498 2637601866 2784135303 5568270606 8352405909 16704811818 25057217727 50114435454