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148001166080 = 2851012514561
BaseRepresentation
bin1000100111010110001…
…1101001001100000000
3112011000110022020012122
42021311203221030000
54411101244303310
6151554002343412
713456415104055
oct2116543511400
9464013266178
10148001166080
1157848888699
122482535ab68
1310c58422ab1
14724011b02c
153cb339c555
hex22758e9300

148001166080 has 144 divisors (see below), whose sum is σ = 359524212768. Its totient is φ = 58368000000.

The previous prime is 148001166077. The next prime is 148001166091. The reversal of 148001166080 is 80661100841.

It is a happy number.

It is a super-2 number, since 2×1480011660802 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 148001166080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32447000 + ... + 32451560.

It is an arithmetic number, because the mean of its divisors is an integer number (2496695922).

Almost surely, 2148001166080 is an apocalyptic number.

148001166080 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 148001166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179762106384).

148001166080 is an abundant number, since it is smaller than the sum of its proper divisors (211523046688).

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

148001166080 is a wasteful number, since it uses less digits than its factorization.

148001166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The spelling of 148001166080 in words is "one hundred forty-eight billion, one million, one hundred sixty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 251 256 320 404 502 505 640 808 1004 1010 1255 1280 1616 2008 2020 2510 3232 4016 4040 4561 5020 6464 8032 8080 9122 10040 12928 16064 16160 18244 20080 22805 25351 25856 32128 32320 36488 40160 45610 50702 64256 64640 72976 80320 91220 101404 126755 129280 145952 160640 182440 202808 253510 291904 321280 364880 405616 460661 507020 583808 729760 811232 921322 1014040 1144811 1167616 1459520 1622464 1842644 2028080 2289622 2303305 2919040 3244928 3685288 4056160 4579244 4606610 5724055 5838080 6489856 7370576 8112320 9158488 9213220 11448110 14741152 16224640 18316976 18426440 22896220 29482304 32449280 36633952 36852880 45792440 58964608 73267904 73705760 91584880 115625911 117929216 146535808 147411520 183169760 231251822 293071616 294823040 366339520 462503644 578129555 589646080 732679040 925007288 1156259110 1465358080 1850014576 2312518220 3700029152 4625036440 7400058304 9250072880 14800116608 18500145760 29600233216 37000291520 74000583040 148001166080