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674649216 = 27331711483
BaseRepresentation
bin101000001101100…
…101010010000000
31202000110201202000
4220031211102000
52340202233331
6150540024000
722501265223
oct5015452200
91660421660
10674649216
11316904a3a
12169b32000
13a9a04627
14658595ba
153e3660e6
hex28365480

674649216 has 128 divisors (see below), whose sum is σ = 2108462400. Its totient is φ = 211636224.

The previous prime is 674649191. The next prime is 674649229. The reversal of 674649216 is 612946476.

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

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, 53011 + ... + 64493.

Almost surely, 2674649216 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 674649216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054231200).

674649216 is an abundant number, since it is smaller than the sum of its proper divisors (1433813184).

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

674649216 is a wasteful number, since it uses less digits than its factorization.

674649216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11523 (or 11505 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 674649216 is about 25974.0103950083. The cubic root of 674649216 is about 877.0533397797.

The spelling of 674649216 in words is "six hundred seventy-four million, six hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3456 3672 4896 6528 7344 9792 11483 14688 19584 22966 29376 34449 45932 58752 68898 91864 103347 137796 183728 195211 206694 275592 310041 367456 390422 413388 551184 585633 620082 734912 780844 826776 1102368 1171266 1240164 1469824 1561688 1653552 1756899 2204736 2342532 2480328 3123376 3307104 3513798 4409472 4685064 4960656 5270697 6246752 6614208 7027596 9370128 9921312 10541394 12493504 13228416 14055192 18740256 19842624 21082788 24987008 28110384 37480512 39685248 42165576 56220768 74961024 84331152 112441536 168662304 224883072 337324608 674649216