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74341400148 = 223217311936641
BaseRepresentation
bin100010100111100010…
…1111011111001010100
321002212222110102021200
41011033011323321110
52204222344301043
654052454112500
75241151321641
oct1051705737124
9232788412250
1074341400148
1129589867284
12124a894b730
137019a00a92
143853438dc8
151e018217d3
hex114f17be54

74341400148 has 36 divisors (see below), whose sum is σ = 189004789428. Its totient is φ = 24637224960.

The previous prime is 74341400143. The next prime is 74341400207. The reversal of 74341400148 is 84100414347.

It is a happy number.

74341400148 is a `hidden beast` number, since 74 + 3 + 41 + 400 + 148 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69943323024 + 4398077124 = 264468^2 + 66318^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74341400143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5962093 + ... + 5974548.

Almost surely, 274341400148 is an apocalyptic number.

It is an amenable number.

74341400148 is an abundant number, since it is smaller than the sum of its proper divisors (114663389280).

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

74341400148 is a wasteful number, since it uses less digits than its factorization.

74341400148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11936824 (or 11936819 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 74341400148 in words is "seventy-four billion, three hundred forty-one million, four hundred thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 6228 11936641 23873282 35809923 47746564 71619846 107429769 143239692 214859538 429719076 2065038893 4130077786 6195116679 8260155572 12390233358 18585350037 24780466716 37170700074 74341400148