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5685461604 = 2234592712
BaseRepresentation
bin1010100101110000…
…10100001001100100
3112200020012101010000
411102320110021210
543120434232404
62340055101300
7260614424544
oct52270241144
915606171100
105685461604
1124583274a9
121128071830
136c7b7a784
143bd133324
15234206339
hex152e14264

5685461604 has 135 divisors (see below), whose sum is σ = 15335047651. Its totient is φ = 1836792720.

The previous prime is 5685461581. The next prime is 5685461627. The reversal of 5685461604 is 4061645865.

The square root of 5685461604 is 75402.

It is a perfect power (a square), and thus also a powerful number.

5685461604 is a `hidden beast` number, since 56 + 85 + 461 + 60 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5685461581) and next prime (5685461627).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5685461604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 80076889 + ... + 80076959.

Almost surely, 25685461604 is an apocalyptic number.

5685461604 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5685461604 is the 75402-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5685461604

5685461604 is an abundant number, since it is smaller than the sum of its proper divisors (9649586047).

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

5685461604 is an equidigital number, since it uses as much as digits as its factorization.

5685461604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The cubic root of 5685461604 is about 1784.7959713132.

The spelling of 5685461604 in words is "five billion, six hundred eighty-five million, four hundred sixty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 71 81 108 118 142 162 177 213 236 284 324 354 426 531 639 708 852 1062 1278 1593 1917 2124 2556 3186 3481 3834 4189 4779 5041 5751 6372 6962 7668 8378 9558 10082 10443 11502 12567 13924 15123 16756 19116 20164 20886 23004 25134 30246 31329 37701 41772 45369 50268 60492 62658 75402 90738 93987 113103 125316 136107 150804 181476 187974 226206 247151 272214 281961 297419 339309 375948 408321 452412 494302 544428 563922 594838 678618 741453 816642 892257 988604 1127844 1189676 1357236 1482906 1633284 1784514 2224359 2676771 2965812 3569028 4448718 5353542 6673077 8030313 8897436 10707084 13346154 16060626 17547721 20019231 24090939 26692308 32121252 35095442 40038462 48181878 52643163 70190884 80076924 96363756 105286326 157929489 210572652 315858978 473788467 631717956 947576934 1421365401 1895153868 2842730802 5685461604