Search a number
-
+
148885105500 = 22325337338863
BaseRepresentation
bin1000101010101000111…
…1100110101101011100
3112020022001121000010200
42022222033212231130
54414404041334000
6152221420303500
713520340341655
oct2125217465534
9466261530120
10148885105500
115816184043a
1224a313a1b90
13110695b5181
1472c569652c
153d15ca5500
hex22aa3e6b5c

148885105500 has 144 divisors (see below), whose sum is σ = 469861706496. Its totient is φ = 39687580800.

The previous prime is 148885105493. The next prime is 148885105543. The reversal of 148885105500 is 5501588841.

148885105500 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 85 + 10 + 550 + 0 = 666.

It is a super-2 number, since 2×1488851055002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent 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, 16794069 + ... + 16802931.

Almost surely, 2148885105500 is an apocalyptic number.

148885105500 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 148885105500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234930853248).

148885105500 is an abundant number, since it is smaller than the sum of its proper divisors (320976600996).

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

148885105500 is a wasteful number, since it uses less digits than its factorization.

148885105500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12621 (or 12606 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 45.

The spelling of 148885105500 in words is "one hundred forty-eight billion, eight hundred eighty-five million, one hundred five thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 2250 3733 4500 7466 8863 11199 14932 17726 18665 22398 26589 33597 35452 37330 44315 44796 53178 55995 67194 74660 79767 88630 93325 106356 111990 132945 134388 159534 167985 177260 186650 221575 223980 265890 279975 319068 335970 373300 398835 443150 466625 531780 559950 664725 671940 797670 839925 886300 933250 1107875 1119900 1329450 1399875 1595340 1679850 1866500 1994175 2215750 2658900 2799750 3323625 3359700 3988350 4199625 4431500 5599500 6647250 7976700 8399250 9970875 13294500 16798500 19941750 33085579 39883500 66171158 99256737 132342316 165427895 198513474 297770211 330855790 397026948 496283685 595540422 661711580 827139475 992567370 1191080844 1488851055 1654278950 1985134740 2481418425 2977702110 3308557900 4135697375 4962836850 5955404220 7444255275 8271394750 9925673700 12407092125 14888510550 16542789500 24814184250 29777021100 37221276375 49628368500 74442552750 148885105500