Search a number
-
+
10236601452 = 22371121915273
BaseRepresentation
bin10011000100010011…
…00010010001101100
3222102101222020022010
421202021202101230
5131431032221302
64411433521220
7511446451050
oct114211422154
928371866263
1010236601452
114383327200
121b98273210
13c71a1b42c
146d1751c60
153eda4716c
hex26226246c

10236601452 has 144 divisors (see below), whose sum is σ = 30167617536. Its totient is φ = 2644435200.

The previous prime is 10236601451. The next prime is 10236601471. The reversal of 10236601452 is 25410663201.

It is not an unprimeable number, because it can be changed into a prime (10236601451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1938688 + ... + 1943960.

It is an arithmetic number, because the mean of its divisors is an integer number (209497344).

Almost surely, 210236601452 is an apocalyptic number.

10236601452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10236601452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15083808768).

10236601452 is an abundant number, since it is smaller than the sum of its proper divisors (19931016084).

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

10236601452 is a wasteful number, since it uses less digits than its factorization.

10236601452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5500 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 10236601452 in words is "ten billion, two hundred thirty-six million, six hundred one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 191 231 242 308 363 382 462 484 573 726 764 847 924 1146 1337 1452 1694 2101 2292 2541 2674 3388 4011 4202 5082 5273 5348 6303 8022 8404 10164 10546 12606 14707 15819 16044 21092 23111 25212 29414 31638 36911 44121 46222 58003 58828 63276 69333 73822 88242 92444 110733 116006 138666 147644 161777 174009 176484 221466 232012 277332 323554 348018 406021 442932 485331 638033 647108 696036 812042 970662 1007143 1218063 1276066 1624084 1914099 1941324 2014286 2436126 2552132 3021429 3828198 4028572 4466231 4872252 6042858 7050001 7656396 8932462 11078573 12085716 13398693 14100002 17864924 21150003 22157146 26797386 28200004 33235719 42300006 44314292 53594772 66471438 77550011 84600012 121864303 132942876 155100022 232650033 243728606 310200044 365592909 465300066 487457212 731185818 853050121 930600132 1462371636 1706100242 2559150363 3412200484 5118300726 10236601452