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10646697140 = 22541103312569
BaseRepresentation
bin10011110101001011…
…11011010010110100
31000110222122020211022
421322211323102310
5133301023302030
64520243400312
7524556301232
oct117245732264
930428566738
1010646697140
114573868162
122091683098
131008985cc1
1472ddc3952
15424a51de5
hex27a97b4b4

10646697140 has 48 divisors (see below), whose sum is σ = 22927378320. Its totient is φ = 4150456320.

The previous prime is 10646697119. The next prime is 10646697163. The reversal of 10646697140 is 4179664601.

It can be written as a sum of positive squares in 8 ways, for example, as 895924624 + 9750772516 = 29932^2 + 98746^2 .

It is a super-2 number, since 2×106466971402 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10646697091 and 10646697100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840776 + ... + 853344.

It is an arithmetic number, because the mean of its divisors is an integer number (477653715).

Almost surely, 210646697140 is an apocalyptic number.

10646697140 is a gapful number since it is divisible by the number (10) 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 10646697140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11463689160).

10646697140 is an abundant number, since it is smaller than the sum of its proper divisors (12280681180).

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

10646697140 is a wasteful number, since it uses less digits than its factorization.

10646697140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13652 (or 13650 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 10646697140 in words is "ten billion, six hundred forty-six million, six hundred ninety-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1033 2066 4132 5165 10330 12569 20660 25138 42353 50276 62845 84706 125690 169412 211765 251380 423530 515329 847060 1030658 2061316 2576645 5153290 10306580 12983777 25967554 51935108 64918885 129837770 259675540 532334857 1064669714 2129339428 2661674285 5323348570 10646697140