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10642435336 = 23131719331189
BaseRepresentation
bin10011110100101011…
…01010110100001000
31000110200121201201201
421322111222310020
5133243430412321
64520012153544
7524505131161
oct117225526410
930420551651
1010642435336
114571417205
1220901688b4
131007b23220
1472d5d4768
154244ae291
hex27a56ad08

10642435336 has 64 divisors (see below), whose sum is σ = 22872250800. Its totient is φ = 4598857728.

The previous prime is 10642435301. The next prime is 10642435357. The reversal of 10642435336 is 63353424601.

It can be written as a sum of positive squares in 8 ways, for example, as 1309716100 + 9332719236 = 36190^2 + 96606^2 .

It is a super-2 number, since 2×106424353362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10642435295 and 10642435304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325630 + ... + 356818.

Almost surely, 210642435336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10642435336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11436125400).

10642435336 is an abundant number, since it is smaller than the sum of its proper divisors (12229815464).

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

10642435336 is a wasteful number, since it uses less digits than its factorization.

10642435336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31418 (or 31414 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 37.

Adding to 10642435336 its reverse (63353424601), we get a palindrome (73995859937).

The spelling of 10642435336 in words is "ten billion, six hundred forty-two million, four hundred thirty-five thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 193 221 386 442 772 884 1544 1768 2509 3281 5018 6562 10036 13124 20072 26248 31189 42653 62378 85306 124756 170612 249512 341224 405457 530213 810914 1060426 1621828 2120852 3243656 4241704 6019477 6892769 12038954 13785538 24077908 27571076 48155816 55142152 78253201 102331109 156506402 204662218 313012804 409324436 626025608 818648872 1330304417 2660608834 5321217668 10642435336