Search a number
-
+
57660574160 = 24571716073769
BaseRepresentation
bin110101101100110101…
…101000100111010000
312111211110112122210202
4311230311220213100
51421042101333120
642253334114332
74110611536130
oct655465504720
9174743478722
1057660574160
11224a9988882
12b2124ab9a8
13558bb8c947
142b0dcc0ac0
151777194875
hexd6cd689d0

57660574160 has 160 divisors (see below), whose sum is σ = 162368893440. Its totient is φ = 18589925376.

The previous prime is 57660574141. The next prime is 57660574183. The reversal of 57660574160 is 6147506675.

57660574160 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15296756 + ... + 15300524.

It is an arithmetic number, because the mean of its divisors is an integer number (1014805584).

Almost surely, 257660574160 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 57660574160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81184446720).

57660574160 is an abundant number, since it is smaller than the sum of its proper divisors (104708319280).

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

57660574160 is a wasteful number, since it uses less digits than its factorization.

57660574160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5413 (or 5407 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 47.

The spelling of 57660574160 in words is "fifty-seven billion, six hundred sixty million, five hundred seventy-four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1607 1904 2380 3214 3769 4760 6428 7538 8035 9520 11249 12856 15076 16070 18845 22498 25712 26383 27319 30152 32140 37690 44996 52766 54638 56245 60304 64073 64280 75380 89992 105532 109276 112490 128146 128560 131915 136595 150760 179984 191233 211064 218552 224980 256292 263830 273190 301520 320365 382466 422128 437104 448511 449960 512584 527660 546380 640730 764932 897022 899920 956165 1025168 1055320 1092760 1281460 1529864 1794044 1912330 2110640 2185520 2242555 2562920 3059728 3588088 3824660 4485110 5125840 6056783 7176176 7649320 8970220 12113566 15298640 17940440 24227132 30283915 35880880 42397481 48454264 60567830 84794962 96908528 102965311 121135660 169589924 205930622 211987405 242271320 339179848 411861244 423974810 484542640 514826555 678359696 720757177 823722488 847949620 1029653110 1441514354 1647444976 1695899240 2059306220 2883028708 3391798480 3603785885 4118612440 5766057416 7207571770 8237224880 11532114832 14415143540 28830287080 57660574160