Search a number
-
+
28761761574 = 23272138572927
BaseRepresentation
bin11010110010010101…
…011010011100100110
32202020110022212120200
4122302111122130212
5432401002332244
621114000211330
72035512640200
oct326225323446
982213285520
1028761761574
111121a2a0197
1256a8309b46
1329349a2b40
14156bc03770
15b35088669
hex6b255a726

28761761574 has 144 divisors (see below), whose sum is σ = 78185435328. Its totient is φ = 7574079744.

The previous prime is 28761761573. The next prime is 28761761603. The reversal of 28761761574 is 47516716782.

28761761574 is a `hidden beast` number, since 2 + 8 + 7 + 6 + 1 + 7 + 61 + 574 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28761761574.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28761761573) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9824899 + ... + 9827825.

It is an arithmetic number, because the mean of its divisors is an integer number (542954412).

Almost surely, 228761761574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28761761574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39092717664).

28761761574 is an abundant number, since it is smaller than the sum of its proper divisors (49423673754).

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

28761761574 is a wasteful number, since it uses less digits than its factorization.

28761761574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3819 (or 3809 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 28761761574 in words is "twenty-eight billion, seven hundred sixty-one million, seven hundred sixty-one thousand, five hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 857 882 1274 1638 1714 1911 2571 2927 3822 5142 5733 5854 5999 7713 8781 11141 11466 11998 15426 17562 17997 20489 22282 26343 33423 35994 38051 40978 41993 52686 53991 61467 66846 76102 77987 83986 100269 107982 114153 122934 125979 143423 155974 184401 200538 228306 233961 251958 266357 286846 342459 368802 377937 430269 467922 532714 545909 684918 701883 755874 799071 860538 1091818 1290807 1403766 1598142 1637727 1864499 2397213 2508439 2581614 3275454 3728998 4794426 4913181 5016878 5593497 7525317 9826362 11186994 15050634 16780491 17559073 22575951 32609707 33560982 35118146 45151902 52677219 65219414 97829121 105354438 122913511 158031657 195658242 228267949 245827022 293487363 316063314 368740533 456535898 586974726 684803847 737481066 1106221599 1369607694 1597875643 2054411541 2212443198 3195751286 4108823082 4793626929 9587253858 14380880787 28761761574