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668555904 = 27323591283
BaseRepresentation
bin100111110110010…
…101101010000000
31201121000011021210
4213312111222000
52332122242104
6150201250120
722365426402
oct4766255200
91647004253
10668555904
11313422a45
12167a93940
13a8680013
1464b10b72
153da60989
hex27d95a80

668555904 has 128 divisors (see below), whose sum is σ = 1885939200. Its totient is φ = 209386496.

The previous prime is 668555887. The next prime is 668555933. The reversal of 668555904 is 409555866.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 520447 + ... + 521729.

It is an arithmetic number, because the mean of its divisors is an integer number (14733900).

Almost surely, 2668555904 is an apocalyptic number.

668555904 is a gapful number since it is divisible by the number (64) 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 668555904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942969600).

668555904 is an abundant number, since it is smaller than the sum of its proper divisors (1217383296).

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

668555904 is a wasteful number, since it uses less digits than its factorization.

668555904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The square root of 668555904 is about 25856.4480159205. The cubic root of 668555904 is about 874.4048868753.

The spelling of 668555904 in words is "six hundred sixty-eight million, five hundred fifty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 59 64 69 92 96 118 128 138 177 184 192 236 276 354 368 384 472 552 708 736 944 1104 1283 1357 1416 1472 1888 2208 2566 2714 2832 2944 3776 3849 4071 4416 5132 5428 5664 7552 7698 8142 8832 10264 10856 11328 15396 16284 20528 21712 22656 29509 30792 32568 41056 43424 59018 61584 65136 75697 82112 86848 88527 118036 123168 130272 151394 164224 173696 177054 227091 236072 246336 260544 302788 354108 454182 472144 492672 521088 605576 708216 908364 944288 1211152 1416432 1741031 1816728 1888576 2422304 2832864 3482062 3633456 3777152 4844608 5223093 5665728 6964124 7266912 9689216 10446186 11331456 13928248 14533824 20892372 27856496 29067648 41784744 55712992 83569488 111425984 167138976 222851968 334277952 668555904