Search a number
-
+
57664665520 = 24571190710321
BaseRepresentation
bin110101101101000101…
…001111011110110000
312111211202020112002121
4311231011033132300
51421044123244040
642254001524024
74110661366240
oct655505173660
9174752215077
1057664665520
1122501222770
12b213943614
13558c992c77
142b10667b20
151777701c4a
hexd6d14f7b0

57664665520 has 160 divisors (see below), whose sum is σ = 167353145856. Its totient is φ = 17951846400.

The previous prime is 57664665497. The next prime is 57664665563. The reversal of 57664665520 is 2556646675.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5581960 + ... + 5592280.

Almost surely, 257664665520 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 57664665520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83676572928).

57664665520 is an abundant number, since it is smaller than the sum of its proper divisors (109688480336).

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

57664665520 is a wasteful number, since it uses less digits than its factorization.

57664665520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11259 (or 11253 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 52.

It can be divided in two parts, 576646655 and 20, that added together give a palindrome (576646675).

The spelling of 57664665520 in words is "fifty-seven billion, six hundred sixty-four million, six hundred sixty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 907 1232 1540 1814 3080 3628 4535 6160 6349 7256 9070 9977 10321 12698 14512 18140 19954 20642 25396 31745 36280 39908 41284 49885 50792 51605 63490 69839 72247 72560 79816 82568 99770 101584 103210 113531 126980 139678 144494 159632 165136 199540 206420 227062 253960 279356 288988 349195 361235 399080 412840 454124 507920 558712 567655 577976 698390 722470 794717 798160 825680 908248 1117424 1135310 1155952 1396780 1444940 1589434 1816496 2270620 2793560 2889880 3178868 3973585 4541240 5587120 5779760 6357736 7947170 9082480 9361147 12715472 15894340 18722294 31788680 37444588 46805735 63577360 65528029 74889176 93611470 102972617 131056058 149778352 187222940 205945234 262112116 327640145 374445880 411890468 514863085 524224232 655280290 720808319 748891760 823780936 1029726170 1048448464 1310560580 1441616638 1647561872 2059452340 2621121160 2883233276 3604041595 4118904680 5242242320 5766466552 7208083190 8237809360 11532933104 14416166380 28832332760 57664665520