Search a number
-
+
53101982976 = 283759316657
BaseRepresentation
bin110001011101000111…
…111111010100000000
312002001202202020022020
4301131013333110000
51332223101423401
640221131441440
73556626256620
oct613507772400
9162052666266
1053101982976
112057a759849
12a35b8b6280
135013610503
1427da6c2880
1515abd80d36
hexc5d1ff500

53101982976 has 144 divisors (see below), whose sum is σ = 161800619904. Its totient is φ = 15145500672.

The previous prime is 53101982959. The next prime is 53101982977. The reversal of 53101982976 is 67928910135.

53101982976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53101982977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3179640 + ... + 3196296.

It is an arithmetic number, because the mean of its divisors is an integer number (1123615416).

Almost surely, 253101982976 is an apocalyptic number.

53101982976 is a gapful number since it is divisible by the number (56) 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 53101982976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80900309952).

53101982976 is an abundant number, since it is smaller than the sum of its proper divisors (108698636928).

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

53101982976 is a wasteful number, since it uses less digits than its factorization.

53101982976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17276 (or 17262 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 53101982976 in words is "fifty-three billion, one hundred one million, nine hundred eighty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 593 672 768 896 1186 1344 1779 1792 2372 2688 3558 4151 4744 5376 7116 8302 9488 12453 14232 16604 16657 18976 24906 28464 33208 33314 37952 49812 49971 56928 66416 66628 75904 99624 99942 113856 116599 132832 133256 151808 199248 199884 227712 233198 265664 266512 349797 398496 399768 455424 466396 531328 533024 699594 796992 799536 932792 1062656 1066048 1399188 1593984 1599072 1865584 2132096 2798376 3187968 3198144 3731168 4264192 5596752 6396288 7462336 9877601 11193504 12792576 14924672 19755202 22387008 29632803 29849344 39510404 44774016 59265606 69143207 79020808 89548032 118531212 138286414 158041616 207429621 237062424 276572828 316083232 414859242 474124848 553145656 632166464 829718484 948249696 1106291312 1264332928 1659436968 1896499392 2212582624 2528665856 3318873936 3792998784 4425165248 6637747872 7585997568 8850330496 13275495744 17700660992 26550991488 53101982976