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5128138026 = 234113171399
BaseRepresentation
bin1001100011010100…
…10010110100101010
3111020101111101220000
410301222102310222
541000300404101
62204505443430
7241036311504
oct46152226452
914211441800
105128138026
1121a1778000
12bb14a0576
136395749cb
143690d8d74
15200318486
hex131a92d2a

5128138026 has 160 divisors (see below), whose sum is σ = 13392086400. Its totient is φ = 1461525120.

The previous prime is 5128138003. The next prime is 5128138049. The reversal of 5128138026 is 6208318215.

It is a happy number.

5128138026 is a `hidden beast` number, since 512 + 8 + 138 + 0 + 2 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5128138003) and next prime (5128138049).

It is a super-2 number, since 2×51281380262 = 52595599227414353352, which contains 22 as substring.

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, 3664875 + ... + 3666273.

It is an arithmetic number, because the mean of its divisors is an integer number (83700540).

Almost surely, 25128138026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5128138026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696043200).

5128138026 is an abundant number, since it is smaller than the sum of its proper divisors (8263948374).

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

5128138026 is a wasteful number, since it uses less digits than its factorization.

5128138026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5128138026 is about 71611.0188867607. The cubic root of 5128138026 is about 1724.4604376753.

The spelling of 5128138026 in words is "five billion, one hundred twenty-eight million, one hundred thirty-eight thousand, twenty-six".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 121 153 162 187 198 242 297 306 363 374 459 561 594 726 891 918 1089 1122 1331 1377 1399 1683 1782 2057 2178 2662 2754 2798 3267 3366 3993 4114 4197 5049 6171 6534 7986 8394 9801 10098 11979 12342 12591 15147 15389 18513 19602 22627 23783 23958 25182 30294 30778 35937 37026 37773 45254 46167 47566 55539 67881 71349 71874 75546 92334 107811 111078 113319 135762 138501 142698 166617 169279 203643 214047 215622 226638 261613 277002 333234 338558 407286 415503 428094 507837 523226 610929 642141 784839 831006 1015674 1221858 1246509 1284282 1523511 1569678 1832787 1862069 1926423 2354517 2493018 2877743 3047022 3665574 3724138 3852846 4570533 4709034 5586207 5755486 7063551 8633229 9141066 11172414 13711599 14127102 16758621 17266458 21190653 25899687 27423198 31655173 33517242 42381306 50275863 51799374 63310346 77699061 94965519 100551726 150827589 155398122 189931038 233097183 284896557 301655178 466194366 569793114 854689671 1709379342 2564069013 5128138026