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146012653160 = 235115310316073
BaseRepresentation
bin1000011111111100001…
…0000100011001101000
3111221212212120022021222
42013333002010121220
54343013214400120
6151024405521212
713356221034233
oct2077702043150
9457785508258
10146012653160
1156a18377490
122436b413208
13109cc46b12a
1470d1db241a
153be8a08525
hex21ff084668

146012653160 has 128 divisors (see below), whose sum is σ = 365571221760. Its totient is φ = 52034611200.

The previous prime is 146012653159. The next prime is 146012653181. The reversal of 146012653160 is 61356210641.

It is a self number, because there is not a number n which added to its sum of digits gives 146012653160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24039884 + ... + 24045956.

It is an arithmetic number, because the mean of its divisors is an integer number (2856025170).

Almost surely, 2146012653160 is an apocalyptic number.

146012653160 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 146012653160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182785610880).

146012653160 is an abundant number, since it is smaller than the sum of its proper divisors (219558568600).

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

146012653160 is a wasteful number, since it uses less digits than its factorization.

146012653160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7179 (or 7175 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 146012653160 in words is "one hundred forty-six billion, twelve million, six hundred fifty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 440 530 583 1031 1060 1166 2062 2120 2332 2915 4124 4664 5155 5830 6073 8248 10310 11341 11660 12146 20620 22682 23320 24292 30365 41240 45364 48584 54643 56705 60730 66803 90728 109286 113410 121460 133606 218572 226820 242920 267212 273215 321869 334015 437144 453640 534424 546430 601073 643738 668030 1092860 1202146 1287476 1336060 1609345 2185720 2404292 2574952 2672120 3005365 3218690 3540559 4808584 6010730 6261263 6437380 7081118 12021460 12522526 12874760 14162236 17702795 24042920 25045052 28324472 31306315 35405590 50090104 62612630 68873893 70811180 125225260 137747786 141622360 250450520 275495572 331846939 344369465 550991144 663693878 688738930 1327387756 1377477860 1659234695 2654775512 2754955720 3318469390 3650316329 6636938780 7300632658 13273877560 14601265316 18251581645 29202530632 36503163290 73006326580 146012653160