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28253427006 = 23719435771427
BaseRepresentation
bin11010010100000010…
…010001010100111110
32200221000210210122110
4122110002101110332
5430330334131011
620551320554450
72020101111210
oct322402212476
980830723573
1028253427006
1110a89360982
125586022a26
13288359025c
1415204bc5b0
15b05625ba6
hex69409153e

28253427006 has 128 divisors (see below), whose sum is σ = 69728440320. Its totient is φ = 7451523072.

The previous prime is 28253426953. The next prime is 28253427019. The reversal of 28253427006 is 60072435282.

It is a super-2 number, since 2×282534270062 (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 63 ways as a sum of consecutive naturals, for example, 19798465 + ... + 19799891.

It is an arithmetic number, because the mean of its divisors is an integer number (544753440).

Almost surely, 228253427006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28253427006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34864220160).

28253427006 is an abundant number, since it is smaller than the sum of its proper divisors (41475013314).

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

28253427006 is a wasteful number, since it uses less digits than its factorization.

28253427006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078.

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 28253427006 in words is "twenty-eight billion, two hundred fifty-three million, four hundred twenty-seven thousand, six".

Divisors: 1 2 3 6 7 14 19 21 38 42 43 57 86 114 129 133 258 266 301 399 577 602 798 817 903 1154 1427 1634 1731 1806 2451 2854 3462 4039 4281 4902 5719 8078 8562 9989 10963 11438 12117 17157 19978 21926 24234 24811 27113 29967 32889 34314 49622 54226 59934 61361 65778 74433 76741 81339 122722 148866 153482 162678 173677 184083 189791 230223 347354 368166 379582 429527 460446 471409 521031 569373 823379 859054 942818 1042062 1138746 1165859 1288581 1414227 1646758 2331718 2470137 2577162 2828454 3299863 3497577 4940274 5763653 6599726 6995154 8161013 9899589 11527306 15644201 16322026 17290959 19799178 24483039 31288402 34581918 35405297 46932603 48966078 70810594 93865206 106215891 109509407 212431782 219018814 247837079 328528221 495674158 657056442 672700643 743511237 1345401286 1487022474 2018101929 4036203858 4708904501 9417809002 14126713503 28253427006