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98505666 = 2337347751
BaseRepresentation
bin1011101111100…
…01001111000010
320212100121101000
411313301033002
5200204140131
613435152430
72304166350
oct567611702
9225317330
1098505666
1150670846
1228ba5716
131753c59c
14d1227d0
1589abce6
hex5df13c2

98505666 has 64 divisors (see below), whose sum is σ = 251228160. Its totient is φ = 28026000.

The previous prime is 98505629. The next prime is 98505677. The reversal of 98505666 is 66650589.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130791 + ... + 131541.

It is an arithmetic number, because the mean of its divisors is an integer number (3925440).

Almost surely, 298505666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98505666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125614080).

98505666 is an abundant number, since it is smaller than the sum of its proper divisors (152722494).

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

98505666 is a wasteful number, since it uses less digits than its factorization.

98505666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 98505666 is about 9925.0020654910. The cubic root of 98505666 is about 461.8352423139.

The spelling of 98505666 in words is "ninety-eight million, five hundred five thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 347 378 694 751 1041 1502 2082 2253 2429 3123 4506 4858 5257 6246 6759 7287 9369 10514 13518 14574 15771 18738 20277 21861 31542 40554 43722 47313 65583 94626 131166 141939 260597 283878 521194 781791 1563582 1824179 2345373 3648358 4690746 5472537 7036119 10945074 14072238 16417611 32835222 49252833 98505666