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12493409573696 = 26378363565459
BaseRepresentation
bin1011010111001101100100…
…1111010101101101000000
31122020100200012020110201212
42311303121033111231000
53114143000322324241
642323220525345252
72426422223130122
oct265633117255500
948210605213655
1012493409573696
113a87475002497
121499381708228
136c817b34880c
1431298181d212
15169eb018ebeb
hexb5cd93d5b40

12493409573696 has 56 divisors (see below), whose sum is σ = 25768420436640. Its totient is φ = 6004647424512.

The previous prime is 12493409573693. The next prime is 12493409573699. The reversal of 12493409573696 is 69637590439421.

It is an interprime number because it is at equal distance from previous prime (12493409573693) and next prime (12493409573699).

It is a super-2 number, since 2×124934095736962 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12493409573693) 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 7 ways as a sum of consecutive naturals, for example, 31586186 + ... + 31979273.

It is an arithmetic number, because the mean of its divisors is an integer number (460150364940).

Almost surely, 212493409573696 is an apocalyptic number.

12493409573696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12493409573696 is an abundant number, since it is smaller than the sum of its proper divisors (13275010862944).

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

12493409573696 is an equidigital number, since it uses as much as digits as its factorization.

12493409573696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63565591 (or 63565581 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 68.

The spelling of 12493409573696 in words is "twelve trillion, four hundred ninety-three billion, four hundred nine million, five hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 83 148 166 296 332 592 664 1184 1328 2368 2656 3071 5312 6142 12284 24568 49136 98272 196544 63565459 127130918 254261836 508523672 1017047344 2034094688 2351921983 4068189376 4703843966 5275933097 9407687932 10551866194 18815375864 21103732388 37630751728 42207464776 75261503456 84414929552 150523006912 168829859104 195209524589 337659718208 390419049178 780838098356 1561676196712 3123352393424 6246704786848 12493409573696