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10497746769372 = 22321732273741563
BaseRepresentation
bin1001100011000011001001…
…1101111001010111011100
31101011120112000120222201200
42120300302131321113130
52333443341133104442
634154333121435500
72132302644153312
oct230606235712734
941146460528650
1010497746769372
113388084414a45
12121664a19bb90
135b1c19527c25
14284144dba0b2
1513310cd4234c
hex98c327795dc

10497746769372 has 72 divisors (see below), whose sum is σ = 26701136031024. Its totient is φ = 3477486775296.

The previous prime is 10497746769353. The next prime is 10497746769373. The reversal of 10497746769372 is 27396764779401.

10497746769372 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 7 + 7 + 467 + 6 + 93 + 72 = 666.

It is a super-2 number, since 2×104977467693722 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10497746769372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10497746769373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13785463 + ... + 14527025.

It is an arithmetic number, because the mean of its divisors is an integer number (370849111542).

Almost surely, 210497746769372 is an apocalyptic number.

10497746769372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10497746769372 is an abundant number, since it is smaller than the sum of its proper divisors (16203389261652).

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

10497746769372 is a wasteful number, since it uses less digits than its factorization.

10497746769372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744019 (or 744014 counting only the distinct ones).

The product of its (nonzero) digits is 672126336, while the sum is 72.

The spelling of 10497746769372 in words is "ten trillion, four hundred ninety-seven billion, seven hundred forty-six million, seven hundred sixty-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 2273 3114 4546 6228 6819 9092 13638 20457 27276 40914 81828 393229 741563 786458 1179687 1483126 1572916 2224689 2359374 2966252 3539061 4449378 4718748 6674067 7078122 8898756 13348134 14156244 26696268 128290399 256580798 384871197 513161596 769742394 1154613591 1539484788 1685572699 2309227182 3371145398 4618454364 5056718097 6742290796 10113436194 15170154291 20226872388 30340308582 60680617164 291604076927 583208153854 874812230781 1166416307708 1749624461562 2624436692343 3499248923124 5248873384686 10497746769372