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148628600300 = 225210119774699
BaseRepresentation
bin1000101001101011110…
…1000111010111101100
3112012122011221012011002
42022122331013113230
54413342410202200
6152140134415432
713511104154255
oct2123275072754
9465564835132
10148628600300
115803aa74274
122497b501578
131102840584b
14729d5a5b2c
153ced4d8bd5
hex229af475ec

148628600300 has 72 divisors (see below), whose sum is σ = 327375140400. Its totient is φ = 58563232000.

The previous prime is 148628600293. The next prime is 148628600327. The reversal of 148628600300 is 3006826841.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1952351 + ... + 2027049.

It is an arithmetic number, because the mean of its divisors is an integer number (4546876950).

Almost surely, 2148628600300 is an apocalyptic number.

148628600300 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 148628600300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163687570200).

148628600300 is an abundant number, since it is smaller than the sum of its proper divisors (178746540100).

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

148628600300 is a wasteful number, since it uses less digits than its factorization.

148628600300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75011 (or 75004 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 148628600300 in words is "one hundred forty-eight billion, six hundred twenty-eight million, six hundred thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 197 202 394 404 505 788 985 1010 1970 2020 2525 3940 4925 5050 9850 10100 19700 19897 39794 74699 79588 99485 149398 198970 298796 373495 397940 497425 746990 994850 1493980 1867475 1989700 3734950 7469900 7544599 14715703 15089198 29431406 30178396 37722995 58862812 73578515 75445990 147157030 150891980 188614975 294314060 367892575 377229950 735785150 754459900 1471570300 1486286003 2972572006 5945144012 7431430015 14862860030 29725720060 37157150075 74314300150 148628600300