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290080400904 = 23337191852117
BaseRepresentation
bin1000011100010100010…
…00111010011000001000
31000201202012110011221000
410032022020322120020
514223041040312104
6341132221415000
726646314503350
oct4161210723010
91021665404830
10290080400904
11102027907718
124827740a460
132147b9b2148
141007b94bb60
15782b8d3639
hex438a23a608

290080400904 has 64 divisors (see below), whose sum is σ = 920890166400. Its totient is φ = 82880114112.

The previous prime is 290080400891. The next prime is 290080400933. The reversal of 290080400904 is 409004080092.

It is a happy number.

290080400904 is a `hidden beast` number, since 2 + 90 + 0 + 80 + 400 + 90 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95924547 + ... + 95927570.

It is an arithmetic number, because the mean of its divisors is an integer number (14388908850).

Almost surely, 2290080400904 is an apocalyptic number.

290080400904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

290080400904 is an abundant number, since it is smaller than the sum of its proper divisors (630809765496).

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

290080400904 is a wasteful number, since it uses less digits than its factorization.

290080400904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191852139 (or 191852129 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 290080400904 its reverse (409004080092), we get a palindrome (699084480996).

The spelling of 290080400904 in words is "two hundred ninety billion, eighty million, four hundred thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 191852117 383704234 575556351 767408468 1151112702 1342964819 1534816936 1726669053 2302225404 2685929638 3453338106 4028894457 4604450808 5180007159 5371859276 6906676212 8057788914 10360014318 10743718552 12086683371 13813352424 16115577828 20720028636 24173366742 32231155656 36260050113 41440057272 48346733484 72520100226 96693466968 145040200452 290080400904