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669712512 = 2737733413
BaseRepresentation
bin100111111010110…
…000000010000000
31201200011220212010
4213322300002000
52332421300022
6150242132520
722411314420
oct4772600200
91650156763
10669712512
11314042a17
12168351140
13a89965c1
1464d32480
153dbdd50c
hex27eb0080

669712512 has 128 divisors (see below), whose sum is σ = 2061509760. Its totient is φ = 188669952.

The previous prime is 669712493. The next prime is 669712531. The reversal of 669712512 is 215217966.

It is an interprime number because it is at equal distance from previous prime (669712493) and next prime (669712531).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194518 + ... + 197930.

It is an arithmetic number, because the mean of its divisors is an integer number (16105545).

Almost surely, 2669712512 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 669712512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030754880).

669712512 is an abundant number, since it is smaller than the sum of its proper divisors (1391797248).

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

669712512 is a wasteful number, since it uses less digits than its factorization.

669712512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3498 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 669712512 is about 25878.8043000445. The cubic root of 669712512 is about 874.9088392648.

The spelling of 669712512 in words is "six hundred sixty-nine million, seven hundred twelve thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 128 146 168 192 219 224 292 336 384 438 448 511 584 672 876 896 1022 1168 1344 1533 1752 2044 2336 2688 3066 3413 3504 4088 4672 6132 6826 7008 8176 9344 10239 12264 13652 14016 16352 20478 23891 24528 27304 28032 32704 40956 47782 49056 54608 65408 71673 81912 95564 98112 109216 143346 163824 191128 196224 218432 249149 286692 327648 382256 436864 498298 573384 655296 747447 764512 996596 1146768 1310592 1494894 1529024 1744043 1993192 2293536 2989788 3058048 3488086 3986384 4587072 5232129 5979576 6976172 7972768 9174144 10464258 11959152 13952344 15945536 20928516 23918304 27904688 31891072 41857032 47836608 55809376 83714064 95673216 111618752 167428128 223237504 334856256 669712512