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10050454134 = 2337229116107
BaseRepresentation
bin10010101110000110…
…11100001001110110
3221221102200222012000
421113003130021312
5131040404013014
64341144040130
7504026310360
oct112703341166
927842628160
1010050454134
114298245a46
121b45a63046
13c422a44a6
146b4b37d30
153dc527509
hex2570dc276

10050454134 has 64 divisors (see below), whose sum is σ = 25636646400. Its totient is φ = 2858994144.

The previous prime is 10050454129. The next prime is 10050454153. The reversal of 10050454134 is 43145405001.

It is a happy number.

10050454134 is a `hidden beast` number, since 100 + 504 + 54 + 1 + 3 + 4 = 666.

10050454134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10050454098 and 10050454107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28509 + ... + 144615.

It is an arithmetic number, because the mean of its divisors is an integer number (400572600).

Almost surely, 210050454134 is an apocalyptic number.

10050454134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10050454134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12818323200).

10050454134 is an abundant number, since it is smaller than the sum of its proper divisors (15586192266).

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

10050454134 is a wasteful number, since it uses less digits than its factorization.

10050454134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116354 (or 116348 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10050454134 its reverse (43145405001), we get a palindrome (53195859135).

The spelling of 10050454134 in words is "ten billion, fifty million, four hundred fifty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 229 378 458 687 1374 1603 2061 3206 4122 4809 6183 9618 12366 14427 28854 43281 86562 116107 232214 348321 696642 812749 1044963 1625498 2089926 2438247 3134889 4876494 6269778 7314741 14629482 21944223 26588503 43888446 53177006 79765509 159531018 186119521 239296527 372239042 478593054 558358563 717889581 1116717126 1435779162 1675075689 3350151378 5025227067 10050454134