Search a number
-
+
66058235656 = 23717612235101
BaseRepresentation
bin111101100001011000…
…001010111100001000
320022111201020001201121
4331201120022330020
52040241402020111
650202521125024
74525661511220
oct754130127410
9208451201647
1066058235656
1126019174196
1210976929774
1362c9905b0a
1432a9301080
151ab9540871
hexf6160af08

66058235656 has 128 divisors (see below), whose sum is σ = 153050204160. Its totient is φ = 26085888000.

The previous prime is 66058235627. The next prime is 66058235657. The reversal of 66058235656 is 65653285066.

It is not an unprimeable number, because it can be changed into a prime (66058235657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12947506 + ... + 12952606.

It is an arithmetic number, because the mean of its divisors is an integer number (1195704720).

Almost surely, 266058235656 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 66058235656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76525102080).

66058235656 is an abundant number, since it is smaller than the sum of its proper divisors (86991968504).

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

66058235656 is a wasteful number, since it uses less digits than its factorization.

66058235656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5415 (or 5411 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 52.

The spelling of 66058235656 in words is "sixty-six billion, fifty-eight million, two hundred thirty-five thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 17 28 34 56 61 68 119 122 136 223 238 244 427 446 476 488 854 892 952 1037 1561 1708 1784 2074 3122 3416 3791 4148 5101 6244 7259 7582 8296 10202 12488 13603 14518 15164 20404 26537 27206 29036 30328 35707 40808 53074 54412 58072 71414 86717 95221 106148 108824 142828 173434 190442 212296 231251 285656 311161 346868 380884 462502 607019 622322 693736 761768 925004 1137523 1214038 1244644 1618757 1850008 2178127 2275046 2428076 2489288 3237514 4356254 4550092 4856152 5289737 6475028 7962661 8712508 9100184 10579474 12950056 15925322 17425016 19337891 21158948 31850644 37028159 38675782 42317896 63701288 69388903 74056318 77351564 135365237 138777806 148112636 154703128 270730474 277555612 296225272 485722321 541460948 555111224 971444642 1082921896 1179611351 1942889284 2359222702 3885778568 4718445404 8257279457 9436890808 16514558914 33029117828 66058235656