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57201071024 = 24231571795531
BaseRepresentation
bin110101010001011100…
…110001001110110000
312110122102220111000002
4311101130301032300
51414121433233044
642140001245132
74063332036626
oct652134611660
9173572814002
1057201071024
1122293571319
12b1046337a8
1355179165b6
142aa8c6b516
15174bb7a74e
hexd517313b0

57201071024 has 80 divisors (see below), whose sum is σ = 117053579520. Its totient is φ = 27026039040.

The previous prime is 57201071021. The next prime is 57201071029. The reversal of 57201071024 is 42017010275.

It is not an unprimeable number, because it can be changed into a prime (57201071021) 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, 10339139 + ... + 10344669.

It is an arithmetic number, because the mean of its divisors is an integer number (1463169744).

Almost surely, 257201071024 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 57201071024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58526789760).

57201071024 is an abundant number, since it is smaller than the sum of its proper divisors (59852508496).

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

57201071024 is a wasteful number, since it uses less digits than its factorization.

57201071024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898 (or 5892 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

Adding to 57201071024 its reverse (42017010275), we get a palindrome (99218081299).

The spelling of 57201071024 in words is "fifty-seven billion, two hundred one million, seventy-one thousand, twenty-four".

Divisors: 1 2 4 8 16 23 46 92 157 179 184 314 358 368 628 716 1256 1432 2512 2864 3611 4117 5531 7222 8234 11062 14444 16468 22124 28103 28888 32936 44248 56206 57776 65872 88496 112412 127213 224824 254426 449648 508852 646369 868367 990049 1017704 1292738 1736734 1980098 2035408 2585476 3473468 3960196 5170952 6946936 7920392 10341904 13893872 15840784 19972441 22771127 39944882 45542254 79889764 91084508 155437693 159779528 182169016 310875386 319559056 364338032 621750772 1243501544 2487003088 3575066939 7150133878 14300267756 28600535512 57201071024