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90498517074 = 232719239315797
BaseRepresentation
bin101010001001000100…
…0011100100001010010
322122120222220222222200
41110102020130201102
52440320110021244
6105324025144030
76352431463050
oct1242210344122
9278528828880
1090498517074
1135420065379
121565792b016
1386c31a83b4
1445471c91d0
15254a000669
hex151221c852

90498517074 has 96 divisors (see below), whose sum is σ = 235999370880. Its totient is φ = 24484052736.

The previous prime is 90498517073. The next prime is 90498517097. The reversal of 90498517074 is 47071589409.

It is a self number, because there is not a number n which added to its sum of digits gives 90498517074.

It is not an unprimeable number, because it can be changed into a prime (90498517073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5720944 + ... + 5736740.

It is an arithmetic number, because the mean of its divisors is an integer number (2458326780).

Almost surely, 290498517074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90498517074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117999685440).

90498517074 is an abundant number, since it is smaller than the sum of its proper divisors (145500853806).

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

90498517074 is a wasteful number, since it uses less digits than its factorization.

90498517074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18224 (or 18221 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 90498517074 in words is "ninety billion, four hundred ninety-eight million, five hundred seventeen thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2393 2394 4786 7179 14358 15797 16751 21537 31594 33502 43074 45467 47391 50253 90934 94782 100506 110579 136401 142173 150759 221158 272802 284346 300143 301518 318269 331737 409203 600286 636538 663474 818406 900429 954807 995211 1800858 1909614 1990422 2101001 2701287 2864421 4202002 5402574 5728842 6303003 12606006 18909009 37802221 37818018 75604442 113406663 226813326 264615547 340219989 529231094 680439978 718242199 793846641 1436484398 1587693282 2154726597 2381539923 4309453194 4763079846 5027695393 6464179791 10055390786 12928359582 15083086179 30166172358 45249258537 90498517074