Search a number
-
+
57503684208 = 24310125746153
BaseRepresentation
bin110101100011011111…
…001001011001110000
312111102112022211020210
4311203133021121300
51420231420343313
642230011304120
74103665152045
oct654337113160
9174375284223
1057503684208
1122429370063
12b189a4b040
13556551a959
142ad71211cc
1517685039c3
hexd637c9670

57503684208 has 80 divisors (see below), whose sum is σ = 150608994336. Its totient is φ = 18903859200.

The previous prime is 57503684191. The next prime is 57503684213. The reversal of 57503684208 is 80248630575.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1222860 + ... + 1269012.

Almost surely, 257503684208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57503684208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75304497168).

57503684208 is an abundant number, since it is smaller than the sum of its proper divisors (93105310128).

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

57503684208 is a wasteful number, since it uses less digits than its factorization.

57503684208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46522 (or 46516 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 57503684208 in words is "fifty-seven billion, five hundred three million, six hundred eighty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 257 303 404 514 606 771 808 1028 1212 1542 1616 2056 2424 3084 4112 4848 6168 12336 25957 46153 51914 77871 92306 103828 138459 155742 184612 207656 276918 311484 369224 415312 553836 622968 738448 1107672 1245936 2215344 4661453 9322906 11861321 13984359 18645812 23722642 27968718 35583963 37291624 47445284 55937436 71167926 74583248 94890568 111874872 142335852 189781136 223749744 284671704 569343408 1197993421 2395986842 3593980263 4791973684 7187960526 9583947368 14375921052 19167894736 28751842104 57503684208