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57257812008 = 233715121673
BaseRepresentation
bin110101010100110101…
…001110000000101000
312110210101200020000000
4311110311032000220
51414230444441013
642145345343000
74064621241345
oct652465160050
9173711606000
1057257812008
11223125a66a1
12b11b637a60
1355265c2047
142ab25db7cc
151751b37973
hexd54d4e028

57257812008 has 128 divisors (see below), whose sum is σ = 162086841600. Its totient is φ = 18958665600.

The previous prime is 57257811907. The next prime is 57257812009. The reversal of 57257812008 is 80021875275.

57257812008 is a `hidden beast` number, since 5 + 72 + 578 + 1 + 2 + 0 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (57257812009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2631060 + ... + 2652732.

It is an arithmetic number, because the mean of its divisors is an integer number (1266303450).

Almost surely, 257257812008 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 57257812008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81043420800).

57257812008 is an abundant number, since it is smaller than the sum of its proper divisors (104829029592).

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

57257812008 is a wasteful number, since it uses less digits than its factorization.

57257812008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21851 (or 21829 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 57257812008 in words is "fifty-seven billion, two hundred fifty-seven million, eight hundred twelve thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 151 162 216 243 302 324 453 486 604 648 729 906 972 1208 1359 1458 1812 1944 2187 2718 2916 3624 4077 4374 5436 5832 8154 8748 10872 12231 16308 17496 21673 24462 32616 36693 43346 48924 65019 73386 86692 97848 110079 130038 146772 173384 195057 220158 260076 293544 330237 390114 440316 520152 585171 660474 780228 880632 1170342 1320948 1560456 1755513 2340684 2641896 3272623 3511026 4681368 5266539 6545246 7022052 9817869 10533078 13090492 14044104 15799617 19635738 21066156 26180984 29453607 31599234 39271476 42132312 47398851 58907214 63198468 78542952 88360821 94797702 117814428 126396936 176721642 189595404 235628856 265082463 353443284 379190808 530164926 706886568 795247389 1060329852 1590494778 2120659704 2385742167 3180989556 4771484334 6361979112 7157226501 9542968668 14314453002 19085937336 28628906004 57257812008