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1146145904 = 24793132897
BaseRepresentation
bin100010001010000…
…1100110001110000
32221212200020121022
41010110030301300
54321403132104
6305421515012
740255036151
oct10424146160
92855606538
101146145904
11538a73422
1227ba12a68
131535b9a57
14ac311928
156a94dbbe
hex4450cc70

1146145904 has 40 divisors (see below), whose sum is σ = 2256730560. Its totient is φ = 563816448.

The previous prime is 1146145849. The next prime is 1146145907. The reversal of 1146145904 is 4095416411.

It is a happy number.

It is a super-4 number, since 4×11461459044 (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146145907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394184 + ... + 397080.

It is an arithmetic number, because the mean of its divisors is an integer number (56418264).

Almost surely, 21146145904 is an apocalyptic number.

It is an amenable number.

1146145904 is a deficient number, since it is larger than the sum of its proper divisors (1110584656).

1146145904 is a wasteful number, since it uses less digits than its factorization.

1146145904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 1146145904 is about 33854.7766792221. The cubic root of 1146145904 is about 1046.5178385671.

The spelling of 1146145904 in words is "one billion, one hundred forty-six million, one hundred forty-five thousand, nine hundred four".

Divisors: 1 2 4 8 16 79 158 313 316 626 632 1252 1264 2504 2897 5008 5794 11588 23176 24727 46352 49454 98908 197816 228863 395632 457726 906761 915452 1813522 1830904 3627044 3661808 7254088 14508176 71634119 143268238 286536476 573072952 1146145904