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2496060766672 = 241119978679059
BaseRepresentation
bin100100010100101000110…
…100001011100111010000
322211121202202200202221221
4210110220310023213100
5311343413024013142
65150401404454424
7345222466310224
oct44245064134720
98747682622857
102496060766672
11882634259a50
1234390584a414
131514ba548645
1488b4a85a784
1544ddcd90767
hex24528d0b9d0

2496060766672 has 80 divisors (see below), whose sum is σ = 5303535552000. Its totient is φ = 1128603611520.

The previous prime is 2496060766669. The next prime is 2496060766679. The reversal of 2496060766672 is 2766670606942.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2496060766672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2496060766679) 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 15 ways as a sum of consecutive naturals, for example, 275529279 + ... + 275538337.

It is an arithmetic number, because the mean of its divisors is an integer number (66294194400).

Almost surely, 22496060766672 is an apocalyptic number.

2496060766672 is a gapful number since it is divisible by the number (22) 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 2496060766672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651767776000).

2496060766672 is an abundant number, since it is smaller than the sum of its proper divisors (2807474785328).

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

2496060766672 is a wasteful number, since it uses less digits than its factorization.

2496060766672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17144 (or 17138 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 61.

The spelling of 2496060766672 in words is "two trillion, four hundred ninety-six billion, sixty million, seven hundred sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 199 398 796 1592 2189 3184 4378 7867 8756 9059 15734 17512 18118 31468 35024 36236 62936 72472 86537 99649 125872 144944 173074 199298 346148 398596 692296 797192 1384592 1565533 1594384 1802741 3131066 3605482 6262132 7210964 12524264 14421928 17220863 19830151 25048528 28843856 34441726 39660302 68883452 71267153 79320604 137766904 142534306 158641208 275533808 285068612 317282416 570137224 783938683 1140274448 1567877366 3135754732 6271509464 12543018928 14182163447 28364326894 56728653788 113457307576 156003797917 226914615152 312007595834 624015191668 1248030383336 2496060766672