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146232066500 = 22531326072851
BaseRepresentation
bin1000100000110000011…
…1000100000111000100
3111222110011102122210222
42020030013010013010
54343440402112000
6151102244403512
713364524025252
oct2101407040704
9458404378728
10146232066500
1157020209a23
12244109a6598
1310a35a61800
1471131a95d2
153c0cde9a85
hex220c1c41c4

146232066500 has 144 divisors (see below), whose sum is σ = 346518821376. Its totient is φ = 53885520000.

The previous prime is 146232066467. The next prime is 146232066511. The reversal of 146232066500 is 5660232641.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51290075 + ... + 51292925.

It is an arithmetic number, because the mean of its divisors is an integer number (2406380704).

Almost surely, 2146232066500 is an apocalyptic number.

146232066500 is a gapful number since it is divisible by the number (10) 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 146232066500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173259410688).

146232066500 is an abundant number, since it is smaller than the sum of its proper divisors (200286754876).

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

146232066500 is a wasteful number, since it uses less digits than its factorization.

146232066500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 146232066500 in words is "one hundred forty-six billion, two hundred thirty-two million, sixty-six thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 169 250 260 325 338 500 607 650 676 845 1214 1300 1625 1690 2428 2851 3035 3250 3380 4225 5702 6070 6500 7891 8450 11404 12140 14255 15175 15782 16900 21125 28510 30350 31564 37063 39455 42250 57020 60700 71275 74126 75875 78910 84500 102583 142550 148252 151750 157820 185315 197275 205166 285100 303500 356375 370630 394550 410332 481819 512915 712750 741260 789100 926575 963638 986375 1025830 1425500 1730557 1853150 1927276 1972750 2051660 2409095 2564575 3461114 3706300 3945500 4632875 4818190 5129150 6922228 8652785 9265750 9636380 10258300 12045475 12822875 17305570 18531500 22497241 24090950 25645750 34611140 43263925 44994482 48181900 51291500 60227375 86527850 89988964 112486205 120454750 173055700 216319625 224972410 240909500 292464133 432639250 449944820 562431025 584928266 865278500 1124862050 1169856532 1462320665 2249724100 2812155125 2924641330 5624310250 5849282660 7311603325 11248620500 14623206650 29246413300 36558016625 73116033250 146232066500