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10477074671442 = 234122501527941
BaseRepresentation
bin1001100001110110001001…
…0100000110011101010010
31101002121011100101121110000
42120131202110012131102
52333124022103441232
634141033542550430
72130641451215241
oct230354224063522
941077140347400
1010477074671442
11337a336573895
12121263b138416
135acca3830012
14283143740958
151327ed0b627c
hex98762506752

10477074671442 has 40 divisors (see below), whose sum is σ = 23476644170892. Its totient is φ = 3492323100000.

The previous prime is 10477074671407. The next prime is 10477074671443. The reversal of 10477074671442 is 24417647077401.

It is a happy number.

10477074671442 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 70 + 74 + 67 + 1 + 442 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6555284588241 + 3921790083201 = 2560329^2 + 1980351^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10477074671443) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 19581192 + ... + 20109132.

Almost surely, 210477074671442 is an apocalyptic number.

10477074671442 is an abundant number, since it is smaller than the sum of its proper divisors (12999569499450).

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

10477074671442 is a wasteful number, since it uses less digits than its factorization.

10477074671442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650456 (or 650447 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 54.

The spelling of 10477074671442 in words is "ten trillion, four hundred seventy-seven billion, seventy-four million, six hundred seventy-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 122501 245002 367503 527941 735006 1055882 1102509 1583823 2205018 3167646 3307527 4751469 6615054 9502938 9922581 14254407 19845162 28508814 42763221 85526442 64673300441 129346600882 194019901323 388039802646 582059703969 1164119407938 1746179111907 3492358223814 5238537335721 10477074671442