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146120479900 = 22529778719141
BaseRepresentation
bin1000100000010101110…
…1011001010010011100
3111222011101110110202221
42020011131121102130
54343223320324100
6151043220555124
713362000405013
oct2100535312234
9458141413687
10146120479900
1156a7322429a
122439b552aa4
1310a188c2235
14710243da7a
153c0320701a
hex220575949c

146120479900 has 72 divisors (see below), whose sum is σ = 320774132336. Its totient is φ = 57769113600.

The previous prime is 146120479867. The next prime is 146120479903. The reversal of 146120479900 is 9974021641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146120479903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7624330 + ... + 7643470.

Almost surely, 2146120479900 is an apocalyptic number.

146120479900 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 146120479900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160387066168).

146120479900 is an abundant number, since it is smaller than the sum of its proper divisors (174653652436).

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

146120479900 is a wasteful number, since it uses less digits than its factorization.

146120479900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20039 (or 20032 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 146120479900 in words is "one hundred forty-six billion, one hundred twenty million, four hundred seventy-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 787 970 1574 1940 2425 3148 3935 4850 7870 9700 15740 19141 19675 38282 39350 76339 76564 78700 95705 152678 191410 305356 381695 382820 478525 763390 957050 1526780 1856677 1908475 1914100 3713354 3816950 7426708 7633900 9283385 15063967 18566770 30127934 37133540 46416925 60255868 75319835 92833850 150639670 185667700 301279340 376599175 753198350 1461204799 1506396700 2922409598 5844819196 7306023995 14612047990 29224095980 36530119975 73060239950 146120479900