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10538050428 = 223452362189
BaseRepresentation
bin10011101000001110…
…11110001101111100
31000012102012102120000
421310013132031330
5133040220103203
64501402554300
7522066644043
oct116407361574
930172172500
1010538050428
114518500294
122061208990
13cbc3058c9
1471d7c155a
1541a2404a3
hex2741de37c

10538050428 has 60 divisors (see below), whose sum is σ = 27601663320. Its totient is φ = 3505910688.

The previous prime is 10538050409. The next prime is 10538050447. The reversal of 10538050428 is 82405083501.

It is a happy number.

10538050428 is a `hidden beast` number, since 1 + 0 + 53 + 80 + 504 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (10538050409) and next prime (10538050447).

It is a super-2 number, since 2×105380504282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10538050392 and 10538050401.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 138358 + ... + 200546.

It is an arithmetic number, because the mean of its divisors is an integer number (460027722).

Almost surely, 210538050428 is an apocalyptic number.

10538050428 is a gapful number since it is divisible by the number (18) 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 10538050428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13800831660).

10538050428 is an abundant number, since it is smaller than the sum of its proper divisors (17063612892).

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

10538050428 is a wasteful number, since it uses less digits than its factorization.

10538050428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62728 (or 62717 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 10538050428 in words is "ten billion, five hundred thirty-eight million, fifty thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 523 1046 1569 2092 3138 4707 6276 9414 14121 18828 28242 42363 56484 62189 84726 124378 169452 186567 248756 373134 559701 746268 1119402 1679103 2238804 3358206 5037309 6716412 10074618 20149236 32524847 65049694 97574541 130099388 195149082 292723623 390298164 585447246 878170869 1170894492 1756341738 2634512607 3512683476 5269025214 10538050428