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5026541436 = 22327177316073
BaseRepresentation
bin1001010111001101…
…01110111101111100
3110222022022202120100
410223212232331330
540243243311221
62150440121100
7235363616520
oct45346567574
913868282510
105026541436
11214a395a84
12b83466190
136214c2597
1435980dd80
151e644a926
hex12b9aef7c

5026541436 has 144 divisors (see below), whose sum is σ = 15586893504. Its totient is φ = 1333075968.

The previous prime is 5026541413. The next prime is 5026541449. The reversal of 5026541436 is 6341456205.

5026541436 is a `hidden beast` number, since 50 + 26 + 541 + 43 + 6 = 666.

It is a super-2 number, since 2×50265414362 = 50532237615649884192, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5026541436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304696 + ... + 320768.

It is an arithmetic number, because the mean of its divisors is an integer number (108242316).

Almost surely, 25026541436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5026541436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7793446752).

5026541436 is an abundant number, since it is smaller than the sum of its proper divisors (10560352068).

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

5026541436 is a wasteful number, since it uses less digits than its factorization.

5026541436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16180 (or 16175 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5026541436 is about 70898.1060113738. The cubic root of 5026541436 is about 1712.9962898246.

The spelling of 5026541436 in words is "five billion, twenty-six million, five hundred forty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 73 84 102 119 126 146 153 204 219 238 252 292 306 357 438 476 511 612 657 714 876 1022 1071 1241 1314 1428 1533 2044 2142 2482 2628 3066 3723 4284 4599 4964 6132 7446 8687 9198 11169 14892 16073 17374 18396 22338 26061 32146 34748 44676 48219 52122 64292 78183 96438 104244 112511 144657 156366 192876 225022 273241 289314 312732 337533 450044 546482 578628 675066 819723 1012599 1092964 1173329 1350132 1639446 1912687 2025198 2346658 2459169 3278892 3519987 3825374 4050396 4693316 4918338 5738061 7039974 7650748 8213303 9836676 10559961 11476122 14079948 16426606 17214183 19946593 21119922 22952244 24639909 32853212 34428366 39893186 42239844 49279818 59839779 68856732 73919727 79786372 98559636 119679558 139626151 147839454 179519337 239359116 279252302 295678908 359038674 418878453 558504604 718077348 837756906 1256635359 1675513812 2513270718 5026541436