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10691328440 = 2351320560247
BaseRepresentation
bin10011111010100000…
…01011100110111000
31000121002121202110102
421331100023212320
5133343440002230
64524520134532
7525640535522
oct117520134670
930532552412
1010691328440
114596a81331
1220a4607448
131014cb1860
14735cc0a12
1542891b045
hex27d40b9b8

10691328440 has 32 divisors (see below), whose sum is σ = 25905912480. Its totient is φ = 3947567232.

The previous prime is 10691328397. The next prime is 10691328449. The reversal of 10691328440 is 4482319601.

10691328440 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 2×106913284402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10691328394 and 10691328403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10691328449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10279604 + ... + 10280643.

It is an arithmetic number, because the mean of its divisors is an integer number (809559765).

Almost surely, 210691328440 is an apocalyptic number.

10691328440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10691328440 is an abundant number, since it is smaller than the sum of its proper divisors (15214584040).

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

10691328440 is a wasteful number, since it uses less digits than its factorization.

10691328440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20560271 (or 20560267 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 10691328440 in words is "ten billion, six hundred ninety-one million, three hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 20560247 41120494 82240988 102801235 164481976 205602470 267283211 411204940 534566422 822409880 1069132844 1336416055 2138265688 2672832110 5345664220 10691328440