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10991732640 = 2535741731093
BaseRepresentation
bin10100011110010100…
…01000011110100000
31001101000212212112220
422033022020132200
5140002340421030
65014410551040
7536246120520
oct121712103640
931330785486
1010991732640
114730601469
122169138480
1310622c1615
14763b5b680
15444ea9a10
hex28f2887a0

10991732640 has 384 divisors, whose sum is σ = 41128238592. Its totient is φ = 2415329280.

The previous prime is 10991732639. The next prime is 10991732669. The reversal of 10991732640 is 4623719901.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10991732592 and 10991732601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10055934 + ... + 10057026.

It is an arithmetic number, because the mean of its divisors is an integer number (107104788).

Almost surely, 210991732640 is an apocalyptic number.

10991732640 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 10991732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20564119296).

10991732640 is an abundant number, since it is smaller than the sum of its proper divisors (30136505952).

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

10991732640 is a wasteful number, since it uses less digits than its factorization.

10991732640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 10991732640 in words is "ten billion, nine hundred ninety-one million, seven hundred thirty-two thousand, six hundred forty".