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661018208 = 251719312063
BaseRepresentation
bin100111011001100…
…101011001100000
31201001211012111212
4213121211121200
52323210040313
6145331525252
722244363534
oct4731453140
91631735455
10661018208
1130a144844
12165459828
13a6c41146
1463b0bbc4
153d0723a8
hex27665660

661018208 has 96 divisors (see below), whose sum is σ = 1497968640. Its totient is φ = 285050880.

The previous prime is 661018153. The next prime is 661018213. The reversal of 661018208 is 802810166.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 319385 + ... + 321447.

It is an arithmetic number, because the mean of its divisors is an integer number (15603840).

Almost surely, 2661018208 is an apocalyptic number.

661018208 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661018208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748984320).

661018208 is an abundant number, since it is smaller than the sum of its proper divisors (836950432).

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

661018208 is a wasteful number, since it uses less digits than its factorization.

661018208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 661018208 is about 25710.2743664863. The cubic root of 661018208 is about 871.1062722632.

The spelling of 661018208 in words is "six hundred sixty-one million, eighteen thousand, two hundred eight".

Divisors: 1 2 4 8 16 17 19 31 32 34 38 62 68 76 124 136 152 248 272 304 323 496 527 544 589 608 646 992 1054 1178 1292 2063 2108 2356 2584 4126 4216 4712 5168 8252 8432 9424 10013 10336 16504 16864 18848 20026 33008 35071 39197 40052 63953 66016 70142 78394 80104 127906 140284 156788 160208 255812 280568 313576 320416 511624 561136 627152 666349 1023248 1087201 1122272 1215107 1254304 1332698 2046496 2174402 2430214 2665396 4348804 4860428 5330792 8697608 9720856 10661584 17395216 19441712 20656819 21323168 34790432 38883424 41313638 82627276 165254552 330509104 661018208