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4664713440 = 253510394351
BaseRepresentation
bin1000101100000100…
…11110000011100000
3110001002110222212110
410112002132003200
534023131312230
62050512555320
7223411260432
oct42602360340
913032428773
104664713440
111a84122282
12aa2252b40
1359455778a
14323744652
151c47c74b0
hex11609e0e0

4664713440 has 96 divisors (see below), whose sum is σ = 14836663296. Its totient is φ = 1231833600.

The previous prime is 4664713397. The next prime is 4664713441. The reversal of 4664713440 is 443174664.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4664713441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2265 + ... + 96615.

It is an arithmetic number, because the mean of its divisors is an integer number (154548576).

Almost surely, 24664713440 is an apocalyptic number.

4664713440 is a gapful number since it is divisible by the number (40) 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 4664713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418331648).

4664713440 is an abundant number, since it is smaller than the sum of its proper divisors (10171949856).

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

4664713440 is a wasteful number, since it uses less digits than its factorization.

4664713440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94472 (or 94464 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 4664713440 is about 68298.7074548267. The cubic root of 4664713440 is about 1670.8661337099.

The spelling of 4664713440 in words is "four billion, six hundred sixty-four million, seven hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2472 3090 3296 4120 4944 6180 8240 9888 12360 16480 24720 49440 94351 188702 283053 377404 471755 566106 754808 943510 1132212 1415265 1509616 1887020 2264424 2830530 3019232 3774040 4528848 5661060 7548080 9057696 9718153 11322120 15096160 19436306 22644240 29154459 38872612 45288480 48590765 58308918 77745224 97181530 116617836 145772295 155490448 194363060 233235672 291544590 310980896 388726120 466471344 583089180 777452240 932942688 1166178360 1554904480 2332356720 4664713440