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146106334556 = 2271321711316073
BaseRepresentation
bin1000100000010010011…
…1011011110101011100
3111222010101211211000022
42020010213123311130
54343211210201211
6151041553451312
713361436231650
oct2100447336534
9458111754008
10146106334556
1156a66242726
1224396870b38
1310a159ab900
1471005daa60
153c01d60bdb
hex22049dbd5c

146106334556 has 144 divisors (see below), whose sum is σ = 338018474304. Its totient is φ = 53915516928.

The previous prime is 146106334541. The next prime is 146106334559. The reversal of 146106334556 is 655433601641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146106334559) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9082136 + ... + 9098208.

It is an arithmetic number, because the mean of its divisors is an integer number (2347350516).

Almost surely, 2146106334556 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 146106334556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169009237152).

146106334556 is an abundant number, since it is smaller than the sum of its proper divisors (191912139748).

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

146106334556 is a wasteful number, since it uses less digits than its factorization.

146106334556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16240 (or 16225 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 146106334556 in words is "one hundred forty-six billion, one hundred six million, three hundred thirty-four thousand, five hundred fifty-six".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 113 119 169 182 221 226 238 338 364 442 452 476 676 791 884 1183 1469 1547 1582 1921 2366 2873 2938 3094 3164 3842 4732 5746 5876 6188 7684 10283 11492 13447 16073 19097 20111 20566 24973 26894 32146 38194 40222 41132 49946 53788 64292 76388 80444 99892 112511 133679 174811 208949 225022 267358 273241 324649 349622 417898 450044 534716 546482 649298 699244 835796 1092964 1298596 1462643 1816249 1912687 2272543 2716337 2925286 3552133 3632498 3825374 4545086 5432674 5850572 7104266 7264996 7650748 9090172 10865348 12713743 14208532 19014359 23611237 24864931 25427486 30876233 38028718 46177729 47222474 49729862 50854972 61752466 76057436 92355458 94444948 99459724 123504932 165278659 184710916 216133631 306946081 323244103 330557318 401391029 432267262 613892162 646488206 661114636 802782058 864534524 1227784324 1292976412 1605564116 2148622567 2809737203 4297245134 5218083377 5619474406 8594490268 10436166754 11238948812 20872333508 36526583639 73053167278 146106334556