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10691370144 = 253571329521
BaseRepresentation
bin10011111010100000…
…10101110010100000
31000121002200212200000
421331100111302200
5133343442321034
64524521100000
7525641101230
oct117520256240
930532625600
1010691370144
114596aaa6a4
1220a4627600
131014cc7830
14735cd1cc0
15428928599
hex27d415ca0

10691370144 has 576 divisors, whose sum is σ = 40220893440. Its totient is φ = 2717245440.

The previous prime is 10691370139. The next prime is 10691370199. The reversal of 10691370144 is 44107319601.

It is a super-2 number, since 2×106913701442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10691370099 and 10691370108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20520604 + ... + 20521124.

It is an arithmetic number, because the mean of its divisors is an integer number (69827940).

Almost surely, 210691370144 is an apocalyptic number.

10691370144 is a gapful number since it is divisible by the number (14) 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 10691370144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20110446720).

10691370144 is an abundant number, since it is smaller than the sum of its proper divisors (29529523296).

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

10691370144 is a wasteful number, since it uses less digits than its factorization.

10691370144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 10691370144 its reverse (44107319601), we get a palindrome (54798689745).

The spelling of 10691370144 in words is "ten billion, six hundred ninety-one million, three hundred seventy thousand, one hundred forty-four".