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669146256 = 2432191991229
BaseRepresentation
bin100111111000100…
…101110010010000
31201122010011002200
4213320211302100
52332300140011
6150222043200
722403435502
oct4770456220
91648104080
10669146256
11313796539
12168119500
13a882893c
1464c25d72
153db2a856
hex27e25c90

669146256 has 120 divisors (see below), whose sum is σ = 1982760000. Its totient is φ = 210076416.

The previous prime is 669146243. The next prime is 669146273. The reversal of 669146256 is 652641966.

669146256 is a `hidden beast` number, since 6 + 6 + 9 + 14 + 625 + 6 = 666.

It is a super-4 number, since 4×6691462564 (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543850 + ... + 545078.

It is an arithmetic number, because the mean of its divisors is an integer number (16523000).

Almost surely, 2669146256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 669146256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991380000).

669146256 is an abundant number, since it is smaller than the sum of its proper divisors (1313613744).

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

669146256 is a wasteful number, since it uses less digits than its factorization.

669146256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1452 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 669146256 is about 25867.8614500697. The cubic root of 669146256 is about 874.6621851326.

The spelling of 669146256 in words is "six hundred sixty-nine million, one hundred forty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 199 228 304 342 398 456 597 684 796 912 1194 1229 1368 1592 1791 2388 2458 2736 3184 3582 3687 3781 4776 4916 7164 7374 7562 9552 9832 11061 11343 14328 14748 15124 19664 22122 22686 23351 28656 29496 30248 34029 44244 45372 46702 58992 60496 68058 70053 88488 90744 93404 136116 140106 176976 181488 186808 210159 244571 272232 280212 373616 420318 489142 544464 560424 733713 840636 978284 1120848 1467426 1681272 1956568 2201139 2934852 3362544 3913136 4402278 4646849 5869704 8804556 9293698 11739408 13940547 17609112 18587396 27881094 35218224 37174792 41821641 55762188 74349584 83643282 111524376 167286564 223048752 334573128 669146256