Search a number
-
+
69727472352 = 2534163165037
BaseRepresentation
bin100000011110000010…
…1001100101011100000
320122222102112121020000
41000330011030223200
52120300213103402
652010553420000
75015624510256
oct1007405145340
9218872477200
1069727472352
112763138200a
121161b70a600
136762b481a5
1435367545d6
151c3172bc1c
hex103c14cae0

69727472352 has 120 divisors (see below), whose sum is σ = 206325886536. Its totient is φ = 23099758848.

The previous prime is 69727472333. The next prime is 69727472377. The reversal of 69727472352 is 25327472796.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 339978 + ... + 505014.

Almost surely, 269727472352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69727472352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103162943268).

69727472352 is an abundant number, since it is smaller than the sum of its proper divisors (136598414184).

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

69727472352 is a wasteful number, since it uses less digits than its factorization.

69727472352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165222 (or 165205 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The spelling of 69727472352 in words is "sixty-nine billion, seven hundred twenty-seven million, four hundred seventy-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 163 216 288 324 326 432 489 648 652 864 978 1296 1304 1467 1956 2592 2608 2934 3912 4401 5216 5868 7824 8802 11736 13203 15648 17604 23472 26406 35208 46944 52812 70416 105624 140832 165037 211248 330074 422496 495111 660148 990222 1320296 1485333 1980444 2640592 2970666 3960888 4455999 5281184 5941332 7921776 8911998 11882664 13367997 15843552 17823996 23765328 26735994 26901031 35647992 47530656 53471988 53802062 71295984 80703093 106943976 107604124 142591968 161406186 213887952 215208248 242109279 322812372 427775904 430416496 484218558 645624744 726327837 860832992 968437116 1291249488 1452655674 1936874232 2178983511 2582498976 2905311348 3873748464 4357967022 5810622696 7747496928 8715934044 11621245392 17431868088 23242490784 34863736176 69727472352