Search a number
-
+
28075097229732 = 22337191194431267
BaseRepresentation
bin1100110001000101111100…
…01100101000100110100100
310200101221201210112110002000
412120202332030220212210
512134440244342322412
6135413304400245300
75625234036661650
oct630427614504644
9120357653473060
1028075097229732
118a446445194a3
123195185310830
1312886163649b7
146d0bb0483a60
1533a46eb6c4dc
hex1988be3289a4

28075097229732 has 96 divisors (see below), whose sum is σ = 83620999741440. Its totient is φ = 7979459156640.

The previous prime is 28075097229617. The next prime is 28075097229733. The reversal of 28075097229732 is 23792279057082.

28075097229732 is a `hidden beast` number, since 2 + 8 + 0 + 7 + 509 + 7 + 2 + 2 + 97 + 32 = 666.

It is a super-2 number, since 2×280750972297322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 28075097229732.

It is not an unprimeable number, because it can be changed into a prime (28075097229733) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97071238 + ... + 97360029.

It is an arithmetic number, because the mean of its divisors is an integer number (871052080640).

Almost surely, 228075097229732 is an apocalyptic number.

It is an amenable number.

28075097229732 is an abundant number, since it is smaller than the sum of its proper divisors (55545902511708).

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

28075097229732 is a wasteful number, since it uses less digits than its factorization.

28075097229732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194431478 (or 194431470 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 28075097229732 in words is "twenty-eight trillion, seventy-five billion, ninety-seven million, two hundred twenty-nine thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 191 252 378 382 573 756 764 1146 1337 1719 2292 2674 3438 4011 5157 5348 6876 8022 10314 12033 16044 20628 24066 36099 48132 72198 144396 194431267 388862534 583293801 777725068 1166587602 1361018869 1749881403 2333175204 2722037738 3499762806 4083056607 5249644209 5444075476 6999525612 8166113214 10499288418 12249169821 16332226428 20998576836 24498339642 36747509463 37136371997 48996679284 73495018926 74272743994 111409115991 146990037852 148545487988 222818231982 259954603979 334227347973 445636463964 519909207958 668454695946 779863811937 1002682043919 1039818415916 1336909391892 1559727623874 2005364087838 2339591435811 3119455247748 4010728175676 4679182871622 7018774307433 9358365743244 14037548614866 28075097229732