Search a number
-
+
57054754080 = 253454402373
BaseRepresentation
bin110101001000101110…
…100111010100100000
312110021020120210220000
4311020232213110200
51413322004112310
642113253220000
74056604256622
oct651056472440
9173236523800
1057054754080
1122218a15225
12b083631600
1354c3506c1c
142a93660c12
15173ddc74c0
hexd48ba7520

57054754080 has 120 divisors (see below), whose sum is σ = 201355782012. Its totient is φ = 15214597632.

The previous prime is 57054754061. The next prime is 57054754103. The reversal of 57054754080 is 8045745075.

57054754080 is a `hidden beast` number, since 57 + 0 + 54 + 7 + 540 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56950958736 + 103795344 = 238644^2 + 10188^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2188227 + ... + 2214146.

Almost surely, 257054754080 is an apocalyptic number.

It is an amenable number.

57054754080 is an abundant number, since it is smaller than the sum of its proper divisors (144301027932).

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

57054754080 is a wasteful number, since it uses less digits than its factorization.

57054754080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402400 (or 4402383 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 57054754080 in words is "fifty-seven billion, fifty-four million, seven hundred fifty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 4402373 8804746 13207119 17609492 22011865 26414238 35218984 39621357 44023730 52828476 66035595 70437968 79242714 88047460 105656952 118864071 132071190 140875936 158485428 176094920 198106785 211313904 237728142 264142380 316970856 352189840 356592213 396213570 422627808 475456284 528284760 594320355 633941712 704379680 713184426 792427140 950912568 1056569520 1188640710 1267883424 1426368852 1584854280 1782961065 1901825136 2113139040 2377281420 2852737704 3169708560 3565922130 3803650272 4754562840 5705475408 6339417120 7131844260 9509125680 11410950816 14263688520 19018251360 28527377040 57054754080