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10040783532 = 22313277317733
BaseRepresentation
bin10010101100111101…
…00011001010101100
3221220202111122121120
421112132203022230
5131030420033112
64340200500540
7503551152243
oct112636431254
927822448546
1010040783532
11429284030a
121b4277a750
13c40299840
146b373b95a
153db766e8c
hex2567a32ac

10040783532 has 96 divisors (see below), whose sum is σ = 25436306112. Its totient is φ = 3064421376.

The previous prime is 10040783521. The next prime is 10040783539. The reversal of 10040783532 is 23538704001.

10040783532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10040783493 and 10040783502.

It is not an unprimeable number, because it can be changed into a prime (10040783539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13697838 + ... + 13698570.

It is an arithmetic number, because the mean of its divisors is an integer number (264961522).

Almost surely, 210040783532 is an apocalyptic number.

10040783532 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 10040783532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12718153056).

10040783532 is an abundant number, since it is smaller than the sum of its proper divisors (15395522580).

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

10040783532 is a wasteful number, since it uses less digits than its factorization.

10040783532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 10040783532 in words is "ten billion, forty million, seven hundred eighty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 277 317 554 634 733 831 951 1108 1268 1466 1662 1902 2199 2932 3324 3601 3804 4121 4398 7202 8242 8796 9529 10803 12363 14404 16484 19058 21606 24726 28587 38116 43212 49452 57174 87809 114348 175618 203041 232361 263427 351236 406082 464722 526854 609123 697083 812164 929444 1053708 1141517 1218246 1394166 2283034 2436492 2639533 2788332 3020693 3424551 4566068 5279066 6041386 6849102 7918599 9062079 10558132 12082772 13698204 15837198 18124158 31674396 36248316 64363997 128727994 193091991 257455988 386183982 772367964 836731961 1673463922 2510195883 3346927844 5020391766 10040783532