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57666464240 = 24571115759627
BaseRepresentation
bin110101101101001100…
…000110100111110000
312111211212121220110212
4311231030012213300
51421100103323430
642254104243252
74111012600310
oct655514064760
9174755556425
1057666464240
1122502241110
12b214470528
1355901728b8
142b109b5440
151777959b95
hexd6d3069f0

57666464240 has 160 divisors (see below), whose sum is σ = 168225375744. Its totient is φ = 17859179520.

The previous prime is 57666464171. The next prime is 57666464249. The reversal of 57666464240 is 4246466675.

57666464240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57666464249) 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, 937307 + ... + 996933.

Almost surely, 257666464240 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 57666464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84112687872).

57666464240 is an abundant number, since it is smaller than the sum of its proper divisors (110558911504).

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

57666464240 is a wasteful number, since it uses less digits than its factorization.

57666464240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59815 (or 59809 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 50.

The spelling of 57666464240 in words is "fifty-seven billion, six hundred sixty-six million, four hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 157 176 220 280 308 314 385 440 560 616 628 770 785 880 1099 1232 1256 1540 1570 1727 2198 2512 3080 3140 3454 4396 5495 6160 6280 6908 8635 8792 10990 12089 12560 13816 17270 17584 21980 24178 27632 34540 43960 48356 59627 60445 69080 87920 96712 119254 120890 138160 193424 238508 241780 298135 417389 477016 483560 596270 655897 834778 954032 967120 1192540 1311794 1669556 2086945 2385080 2623588 3279485 3339112 4173890 4591279 4770160 5247176 6558970 6678224 8347780 9182558 9361439 10494352 13117940 16695560 18365116 18722878 22956395 26235880 33391120 36730232 37445756 45912790 46807195 52471760 65530073 73460464 74891512 91825580 93614390 102975829 131060146 149783024 183651160 187228780 205951658 262120292 327650365 367302320 374457560 411903316 514879145 524240584 655300730 720830803 748915120 823806632 1029758290 1048481168 1310601460 1441661606 1647613264 2059516580 2621202920 2883323212 3604154015 4119033160 5242405840 5766646424 7208308030 8238066320 11533292848 14416616060 28833232120 57666464240