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148260051800 = 23527105900037
BaseRepresentation
bin1000101000010011111…
…1001101101101011000
3112011200111102222122122
42022010333031231120
54412114033124200
6152035411240412
713466010434660
oct2120477155530
9464614388578
10148260051800
1157970a30333
1224897ba9108
1310c99c56b03
14726666b1a0
153ccae89385
hex2284fcdb58

148260051800 has 48 divisors (see below), whose sum is σ = 393948141360. Its totient is φ = 50832017280.

The previous prime is 148260051769. The next prime is 148260051811. The reversal of 148260051800 is 8150062841.

148260051800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52948619 + ... + 52951418.

It is an arithmetic number, because the mean of its divisors is an integer number (8207252945).

Almost surely, 2148260051800 is an apocalyptic number.

148260051800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148260051800 is an abundant number, since it is smaller than the sum of its proper divisors (245688089560).

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

148260051800 is a wasteful number, since it uses less digits than its factorization.

148260051800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105900060 (or 105900051 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The spelling of 148260051800 in words is "one hundred forty-eight billion, two hundred sixty million, fifty-one thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 105900037 211800074 423600148 529500185 741300259 847200296 1059000370 1482600518 2118000740 2647500925 2965201036 3706501295 4236001480 5295001850 5930402072 7413002590 10590003700 14826005180 18532506475 21180007400 29652010360 37065012950 74130025900 148260051800