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145991893500 = 22325347690269
BaseRepresentation
bin1000011111110111001…
…0111000000111111100
3111221211102111121101200
42013331302320013330
54342442411043000
6151022344535500
713355546422365
oct2077562700774
9457742447350
10145991893500
1156a07688442
1224364481590
13109c807cccb
1470cd32ab6c
153be6ca7500
hex21fdcb81fc

145991893500 has 144 divisors (see below), whose sum is σ = 470355500160. Its totient is φ = 38102793600.

The previous prime is 145991893493. The next prime is 145991893529. The reversal of 145991893500 is 5398199541.

145991893500 is a `hidden beast` number, since 1 + 4 + 59 + 9 + 1 + 89 + 3 + 500 = 666.

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, 133635 + ... + 556634.

It is an arithmetic number, because the mean of its divisors is an integer number (3266357640).

Almost surely, 2145991893500 is an apocalyptic number.

145991893500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145991893500 is an abundant number, since it is smaller than the sum of its proper divisors (324363606660).

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

145991893500 is a wasteful number, since it uses less digits than its factorization.

145991893500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690341 (or 690326 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 145991893500 in words is "one hundred forty-five billion, nine hundred ninety-one million, eight hundred ninety-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 47 50 60 75 90 94 100 125 141 150 180 188 225 235 250 282 300 375 423 450 470 500 564 705 750 846 900 940 1125 1175 1410 1500 1692 2115 2250 2350 2820 3525 4230 4500 4700 5875 7050 8460 10575 11750 14100 17625 21150 23500 35250 42300 52875 70500 105750 211500 690269 1380538 2070807 2761076 3451345 4141614 6212421 6902690 8283228 10354035 12424842 13805380 17256725 20708070 24849684 31062105 32442643 34513450 41416140 51770175 62124210 64885286 69026900 86283625 97327929 103540350 124248420 129770572 155310525 162213215 172567250 194655858 207080700 258850875 291983787 310621050 324426430 345134500 389311716 486639645 517701750 583967574 621242100 648852860 776552625 811066075 973279290 1035403500 1167935148 1459918935 1553105250 1622132150 1946558580 2433198225 2919837870 3106210500 3244264300 4055330375 4866396450 5839675740 7299594675 8110660750 9732792900 12165991125 14599189350 16221321500 24331982250 29198378700 36497973375 48663964500 72995946750 145991893500