Search a number
-
+
128533264664 = 23731477572081
BaseRepresentation
bin111011110110100101…
…1011111100100011000
3110021202201000100222212
41313231023133210120
54101214003432124
6135014121534252
712200113503020
oct1675513374430
9407681010885
10128533264664
114a56874a172
1220ab1644388
13c17505b4bc
146314784a80
1535241da40e
hex1ded2df918

128533264664 has 128 divisors (see below), whose sum is σ = 290885713920. Its totient is φ = 52080537600.

The previous prime is 128533264637. The next prime is 128533264679. The reversal of 128533264664 is 466462335821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61764104 + ... + 61766184.

It is an arithmetic number, because the mean of its divisors is an integer number (2272544640).

Almost surely, 2128533264664 is an apocalyptic number.

128533264664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128533264664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145442856960).

128533264664 is an abundant number, since it is smaller than the sum of its proper divisors (162352449256).

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

128533264664 is a wasteful number, since it uses less digits than its factorization.

128533264664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2925 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 50.

The spelling of 128533264664 in words is "one hundred twenty-eight billion, five hundred thirty-three million, two hundred sixty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 31 47 56 62 94 124 188 217 248 329 376 434 658 757 868 1316 1457 1514 1736 2081 2632 2914 3028 4162 5299 5828 6056 8324 10199 10598 11656 14567 16648 20398 21196 23467 29134 35579 40796 42392 46934 58268 64511 71158 81592 93868 97807 116536 129022 142316 164269 187736 195614 249053 258044 284632 328538 391228 451577 498106 516088 657076 684649 782456 903154 996212 1102949 1314152 1369298 1575317 1806308 1992424 2205898 2738596 3032017 3150634 3612616 4411796 5477192 6064034 6301268 7720643 8823592 11027219 12128068 12602536 15441286 21224119 22054438 24256136 30882572 42448238 44108876 48834827 61765144 74039899 84896476 88217752 97669654 148079798 169792952 195339308 296159596 341843789 390678616 518279293 592319192 683687578 1036558586 1367375156 2073117172 2295236869 2734750312 4146234344 4590473738 9180947476 16066658083 18361894952 32133316166 64266632332 128533264664