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47491000336 = 24131511579631
BaseRepresentation
bin101100001110101011…
…110010100000010000
311112120201200210010101
4230032223302200100
51234230144002321
633452252542144
73300604561633
oct541653624020
9145521623111
1047491000336
111916048250a
129254781954
13462b00c140
142427419c1a
15137e48c791
hexb0eaf2810

47491000336 has 80 divisors (see below), whose sum is σ = 100393796608. Its totient is φ = 21632832000.

The previous prime is 47491000309. The next prime is 47491000351. The reversal of 47491000336 is 63300019474.

47491000336 is a nontrivial binomial coefficient, being equal to C(308192, 2).

It is a super-2 number, since 2×474910003362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47491000295 and 47491000304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4926241 + ... + 4935871.

Almost surely, 247491000336 is an apocalyptic number.

47491000336 is the 308191-st triangular number and also the 154096-th hexagonal number.

47491000336 is the 102731-st centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47491000336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50196898304).

47491000336 is an abundant number, since it is smaller than the sum of its proper divisors (52902796272).

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

47491000336 is a wasteful number, since it uses less digits than its factorization.

47491000336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9960 (or 9954 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 47491000336 in words is "forty-seven billion, four hundred ninety-one million, three hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 52 104 151 157 208 302 314 604 628 1208 1256 1963 2041 2416 2512 3926 4082 7852 8164 9631 15704 16328 19262 23707 31408 32656 38524 47414 77048 94828 125203 154096 189656 250406 308191 379312 500812 616382 1001624 1232764 1454281 1512067 2003248 2465528 2908562 3024134 4931056 5817124 6048268 11634248 12096536 18905653 19656871 23268496 24193072 37811306 39313742 75622612 78627484 151245224 157254968 228322117 302490448 314509936 456644234 913288468 1826576936 2968187521 3653153872 5936375042 11872750084 23745500168 47491000336