Search a number
-
+
42354164782188 = 22327330331508799
BaseRepresentation
bin10011010000101010110001…
…11100100101010001101100
312112222000111120021220202200
421220111120330211101230
521022412312141012223
6230025122405421500
711630662454401140
oct1150253074452154
9175860446256680
1042354164782188
111254a333937756
12490063010a890
131a82c994c51bc
14a65d499a7220
154d6ae06c2a43
hex268558f2546c

42354164782188 has 72 divisors (see below), whose sum is σ = 122357086924800. Its totient is φ = 12101129520480.

The previous prime is 42354164782151. The next prime is 42354164782247. The reversal of 42354164782188 is 88128746145324.

42354164782188 is a `hidden beast` number, since 4 + 2 + 3 + 54 + 16 + 478 + 21 + 88 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82989013 + ... + 83497811.

Almost surely, 242354164782188 is an apocalyptic number.

It is an amenable number.

42354164782188 is an abundant number, since it is smaller than the sum of its proper divisors (80002922142612).

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

42354164782188 is a wasteful number, since it uses less digits than its factorization.

42354164782188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839147 (or 839142 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 63.

The spelling of 42354164782188 in words is "forty-two trillion, three hundred fifty-four billion, one hundred sixty-four million, seven hundred eighty-two thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 330331 508799 660662 990993 1017598 1321324 1526397 1981986 2035196 2312317 2972979 3052794 3561593 3963972 4579191 4624634 5945958 6105588 6936951 7123186 9158382 9249268 10684779 11891916 13873902 14246372 18316764 20810853 21369558 27747804 32054337 41621706 42739116 64108674 83243412 128217348 168072082469 336144164938 504216247407 672288329876 1008432494814 1176504577283 1512648742221 2016864989628 2353009154566 3025297484442 3529513731849 4706018309132 6050594968884 7059027463698 10588541195547 14118054927396 21177082391094 42354164782188