Search a number
-
+
238453404768 = 2533391970423
BaseRepresentation
bin1101111000010011101…
…1100011010001100000
3211210111020011001012000
43132010323203101200
512401323032423033
6301313300004000
723141045332545
oct3360473432140
9753436131160
10238453404768
1192144804367
123a269690600
1319641b46a17
14b7810dabcc
1563092aaa13
hex3784ee3460

238453404768 has 96 divisors (see below), whose sum is σ = 695676441600. Its totient is φ = 79463058048.

The previous prime is 238453404757. The next prime is 238453404769. The reversal of 238453404768 is 867404354832.

238453404768 is a `hidden beast` number, since 2 + 3 + 8 + 4 + 534 + 0 + 47 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238453404769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3350805 + ... + 3421227.

It is an arithmetic number, because the mean of its divisors is an integer number (7246629600).

Almost surely, 2238453404768 is an apocalyptic number.

It is an amenable number.

238453404768 is an abundant number, since it is smaller than the sum of its proper divisors (457223036832).

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

238453404768 is a wasteful number, since it uses less digits than its factorization.

238453404768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74361 (or 74347 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 238453404768 in words is "two hundred thirty-eight billion, four hundred fifty-three million, four hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3919 7838 11757 15676 23514 31352 35271 47028 62704 70423 70542 94056 105813 125408 140846 141084 188112 211269 211626 281692 282168 376224 422538 423252 563384 564336 633807 845076 846504 1126768 1128672 1267614 1690152 1693008 1901421 2253536 2535228 3380304 3386016 3802842 5070456 6760608 7605684 10140912 15211368 20281824 30422736 60845472 275987737 551975474 827963211 1103950948 1655926422 2207901896 2483889633 3311852844 4415803792 4967779266 6623705688 7451668899 8831607584 9935558532 13247411376 14903337798 19871117064 26494822752 29806675596 39742234128 59613351192 79484468256 119226702384 238453404768