Search a number
-
+
42858644685824 = 210119739226003
BaseRepresentation
bin10011011111010110011100…
…10010101100010000000000
312121202020122122020022111002
421233223032102230100000
521104144001014421244
6231052553424511132
712012302112001202
oct1157531622542000
9177666578208432
1042858644685824
111272428166a050
12498236147b4a8
131abb725801516
14a82525b84772
154e4cb9774a4e
hex26face4ac400

42858644685824 has 88 divisors (see below), whose sum is σ = 94427661101088. Its totient is φ = 19280364503040.

The previous prime is 42858644685797. The next prime is 42858644685827.

42858644685824 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (42858644685827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18520394 + ... + 20705609.

Almost surely, 242858644685824 is an apocalyptic number.

42858644685824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42858644685824 is an abundant number, since it is smaller than the sum of its proper divisors (51569016415264).

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

42858644685824 is a wasteful number, since it uses less digits than its factorization.

42858644685824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39226131 (or 39226113 counting only the distinct ones).

The product of its digits is 3774873600, while the sum is 74.

The spelling of 42858644685824 in words is "forty-two trillion, eight hundred fifty-eight billion, six hundred forty-four million, six hundred eighty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 128 176 194 256 352 388 512 704 776 1024 1067 1408 1552 2134 2816 3104 4268 5632 6208 8536 11264 12416 17072 24832 34144 49664 68288 99328 136576 273152 546304 1092608 39226003 78452006 156904012 313808024 431486033 627616048 862972066 1255232096 1725944132 2510464192 3451888264 3804922291 5020928384 6903776528 7609844582 10041856768 13807553056 15219689164 20083713536 27615106112 30439378328 40167427072 41854145201 55230212224 60878756656 83708290402 110460424448 121757513312 167416580804 220920848896 243515026624 334833161608 441841697792 487030053248 669666323216 974060106496 1339332646432 1948120212992 2678665292864 3896240425984 5357330585728 10714661171456 21429322342912 42858644685824