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57172011648 = 273377875113
BaseRepresentation
bin110101001111101101…
…111010101010000000
312110120102020010000220
4311033231322222000
51414042013333043
642133042343040
74062530036463
oct651755725200
9173512203026
1057172011648
1122279123604
12b0b695aa80
1355118b07bb
142aa50652da
15174933a483
hexd4fb7aa80

57172011648 has 128 divisors (see below), whose sum is σ = 156196288320. Its totient is φ = 18515091456.

The previous prime is 57172011641. The next prime is 57172011667. The reversal of 57172011648 is 84611027175.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (57172011641) by changing a digit.

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, 11179140 + ... + 11184252.

Almost surely, 257172011648 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 57172011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78098144160).

57172011648 is an abundant number, since it is smaller than the sum of its proper divisors (99024276672).

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

57172011648 is a wasteful number, since it uses less digits than its factorization.

57172011648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5954 (or 5942 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 57172011648 in words is "fifty-seven billion, one hundred seventy-two million, eleven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 787 888 1184 1574 1776 2361 2368 3148 3552 4722 4736 5113 6296 7104 9444 10226 12592 14208 15339 18888 20452 25184 29119 30678 37776 40904 50368 58238 61356 75552 81808 87357 100736 116476 122712 151104 163616 174714 189181 232952 245424 302208 327232 349428 378362 465904 490848 567543 654464 698856 756724 931808 981696 1135086 1397712 1513448 1863616 1963392 2270172 2795424 3026896 3727232 4023931 4540344 5590848 6053792 8047862 9080688 11181696 12071793 12107584 16095724 18161376 24143586 24215168 32191448 36322752 48287172 64382896 72645504 96574344 128765792 148885447 193148688 257531584 297770894 386297376 446656341 515063168 595541788 772594752 893312682 1191083576 1545189504 1786625364 2382167152 3573250728 4764334304 7146501456 9528668608 14293002912 19057337216 28586005824 57172011648