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10610009696 = 2511134095669
BaseRepresentation
bin10011110000110011…
…11110011001100000
31000101102121100010002
421320121332121200
5133212130302241
64512453155132
7523632410606
oct117031763140
930342540102
1010610009696
11455508a360
12208132baa8
1310011ac160
14729193876
1542170689b
hex27867e660

10610009696 has 96 divisors (see below), whose sum is σ = 24604624800. Its totient is φ = 4440084480.

The previous prime is 10610009681. The next prime is 10610009713. The reversal of 10610009696 is 69690001601.

10610009696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106100096962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1868750 + ... + 1874418.

It is an arithmetic number, because the mean of its divisors is an integer number (256298175).

Almost surely, 210610009696 is an apocalyptic number.

10610009696 is a gapful number since it is divisible by the number (16) 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 10610009696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12302312400).

10610009696 is an abundant number, since it is smaller than the sum of its proper divisors (13994615104).

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

10610009696 is a wasteful number, since it uses less digits than its factorization.

10610009696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112 (or 6104 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 38.

The spelling of 10610009696 in words is "ten billion, six hundred ten million, nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 409 416 572 818 1144 1636 2288 3272 4499 4576 5317 5669 6544 8998 10634 11338 13088 17996 21268 22676 35992 42536 45352 58487 62359 71984 73697 85072 90704 116974 124718 143968 147394 170144 181408 233948 249436 294788 467896 498872 589576 810667 935792 997744 1179152 1621334 1871584 1995488 2318621 2358304 3242668 4637242 6485336 9274484 12970672 18548968 25504831 25941344 30142073 37097936 51009662 60284146 74195872 102019324 120568292 204038648 241136584 331562803 408077296 482273168 663125606 816154592 964546336 1326251212 2652502424 5305004848 10610009696