Search a number
-
+
69342863688 = 23327487728211
BaseRepresentation
bin100000010010100101…
…0000010000101001000
320121222121211110022200
41000211022002011020
52114003233114223
651504454120200
75003244421230
oct1004512020510
9217877743280
1069342863688
112745426990a
1211532950060
1367012653b7
1434db638cc0
151c0caa8a43
hex1025282148

69342863688 has 96 divisors (see below), whose sum is σ = 214684292160. Its totient is φ = 19807482240.

The previous prime is 69342863683. The next prime is 69342863749. The reversal of 69342863688 is 88636824396.

69342863688 is a `hidden beast` number, since 6 + 93 + 428 + 63 + 68 + 8 = 666.

It is a super-2 number, since 2×693428636882 (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (69342863683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2443903 + ... + 2472113.

It is an arithmetic number, because the mean of its divisors is an integer number (2236294710).

Almost surely, 269342863688 is an apocalyptic number.

It is an amenable number.

69342863688 is an abundant number, since it is smaller than the sum of its proper divisors (145341428472).

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

69342863688 is a wasteful number, since it uses less digits than its factorization.

69342863688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33107 (or 33100 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 69342863688 in words is "sixty-nine billion, three hundred forty-two million, eight hundred sixty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4877 9754 14631 19508 28211 29262 34139 39016 43893 56422 58524 68278 84633 87786 102417 112844 117048 136556 169266 175572 197477 204834 225688 253899 273112 307251 338532 351144 394954 409668 507798 592431 614502 677064 789908 819336 1015596 1184862 1229004 1579816 1777293 2031192 2369724 2458008 3554586 4739448 7109172 14218344 137585047 275170094 412755141 550340188 825510282 963095329 1100680376 1238265423 1651020564 1926190658 2476530846 2889285987 3302041128 3852381316 4953061692 5778571974 7704762632 8667857961 9906123384 11557143948 17335715922 23114287896 34671431844 69342863688