Search a number
-
+
57418460544 = 273149527241
BaseRepresentation
bin110101011110011010…
…000010110110000000
312111012120222000100210
4311132122002312000
51420043111214134
642213324514120
74101611601414
oct653632026600
9174176860323
1057418460544
1122395251285
12b1653ab940
13555097ba53
142ac9a98d44
151760cbc2e9
hexd5e682d80

57418460544 has 32 divisors (see below), whose sum is σ = 152517786840. Its totient is φ = 19139486720.

The previous prime is 57418460501. The next prime is 57418460549. The reversal of 57418460544 is 44506481475.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×574184605442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 57418460493 and 57418460502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57418460549) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74763237 + ... + 74764004.

Almost surely, 257418460544 is an apocalyptic number.

It is an amenable number.

57418460544 is an abundant number, since it is smaller than the sum of its proper divisors (95099326296).

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

57418460544 is a wasteful number, since it uses less digits than its factorization.

57418460544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149527258 (or 149527246 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 57418460544 in words is "fifty-seven billion, four hundred eighteen million, four hundred sixty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 149527241 299054482 448581723 598108964 897163446 1196217928 1794326892 2392435856 3588653784 4784871712 7177307568 9569743424 14354615136 19139486848 28709230272 57418460544