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57262334227344 = 2432472134172
BaseRepresentation
bin11010000010100011011010…
…00101110011001110010000
321111202020002112020202201100
431001101231011303032100
530001141230030233334
6321441541515504400
715030032011010511
oct1501215505631620
9244666075222640
1057262334227344
11172779019331a4
1265099a7a58100
1325c4a79594c5c
14101d7243d2a08
156947d0e18c99
hex34146d173390

57262334227344 has 135 divisors (see below), whose sum is σ = 163749436797297. Its totient is φ = 18679936534272.

The previous prime is 57262334227289. The next prime is 57262334227363. The reversal of 57262334227344 is 44372243326275.

The square root of 57262334227344 is 7567188.

It is a perfect power (a square), and thus also a powerful number.

57262334227344 is a `hidden beast` number, since 5 + 7 + 2 + 6 + 23 + 342 + 273 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21467098227600 + 35795235999744 = 4633260^2 + 5982912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4267887324 + ... + 4267900740.

Almost surely, 257262334227344 is an apocalyptic number.

57262334227344 is the 7567188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57262334227344

57262334227344 is an abundant number, since it is smaller than the sum of its proper divisors (106487102569953).

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

57262334227344 is an frugal number, since it uses more digits than its factorization.

57262334227344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26942 (or 13469 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 54.

The spelling of 57262334227344 in words is "fifty-seven trillion, two hundred sixty-two billion, three hundred thirty-four million, two hundred twenty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2209 2256 3384 4418 6627 6768 8836 13254 13417 17672 19881 26508 26834 35344 39762 40251 53016 53668 79524 80502 106032 107336 120753 159048 161004 214672 241506 318096 322008 483012 630599 644016 966024 1261198 1891797 1932048 2522396 3783594 5044792 5675391 7567188 10089584 11350782 15134376 22701564 29638153 30268752 45403128 59276306 88914459 90806256 118552612 177828918 180015889 237105224 266743377 355657836 360031778 474210448 533486754 540047667 711315672 720063556 1066973508 1080095334 1422631344 1440127112 1620143001 2133947016 2160190668 2880254224 3240286002 4267894032 4320381336 6480572004 8460746783 8640762672 12961144008 16921493566 25382240349 25922288016 33842987132 50764480698 67685974264 76146721047 101528961396 135371948528 152293442094 203057922792 304586884188 397655098801 406115845584 609173768376 795310197602 1192965296403 1218347536752 1590620395204 2385930592806 3181240790408 3578895889209 4771861185612 6362481580816 7157791778418 9543722371224 14315583556836 19087444742448 28631167113672 57262334227344