Search a number
-
+
66921528996 = 22347101292147
BaseRepresentation
bin111110010100110101…
…010111111010100100
320101201212122220120000
4332110311113322210
52044023402411441
650424320341300
74556243416350
oct762465277244
9211655586500
1066921528996
1126421505263
1210b77a74830
13640671998a
14334bc24460
151b1a21b2b6
hexf94d57ea4

66921528996 has 120 divisors (see below), whose sum is σ = 201918674496. Its totient is φ = 18931060800.

The previous prime is 66921528991. The next prime is 66921529033. The reversal of 66921528996 is 69982512966.

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

It is not an unprimeable number, because it can be changed into a prime (66921528991) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82995 + ... + 375141.

Almost surely, 266921528996 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 66921528996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100959337248).

66921528996 is an abundant number, since it is smaller than the sum of its proper divisors (134997145500).

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

66921528996 is a wasteful number, since it uses less digits than its factorization.

66921528996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292271 (or 292260 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The spelling of 66921528996 in words is "sixty-six billion, nine hundred twenty-one million, five hundred twenty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 101 108 126 162 189 202 252 303 324 378 404 567 606 707 756 909 1134 1212 1414 1818 2121 2268 2727 2828 3636 4242 5454 6363 8181 8484 10908 12726 16362 19089 25452 32724 38178 57267 76356 114534 229068 292147 584294 876441 1168588 1752882 2045029 2629323 3505764 4090058 5258646 6135087 7887969 8180116 10517292 12270174 15775938 18405261 23663907 24540348 29506847 31551876 36810522 47327814 55215783 59013694 73621044 88520541 94655628 110431566 118027388 165647349 177041082 206547929 220863132 265561623 331294698 354082164 413095858 531123246 619643787 662589396 796684869 826191716 1062246492 1239287574 1593369738 1858931361 2390054607 2478575148 3186739476 3717862722 4780109214 5576794083 7435725444 9560218428 11153588166 16730382249 22307176332 33460764498 66921528996