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6145725465 = 32511192328411
BaseRepresentation
bin1011011100101000…
…00101010000011001
3120212022021012102200
411232110011100121
5100041301203330
62453500120413
7305203542645
oct55624052031
916768235380
106145725465
112674113560
121236236109
1376c32c159
14424303c25
1525e820a60
hex16e505419

6145725465 has 96 divisors (see below), whose sum is σ = 12764943360. Its totient is φ = 2700086400.

The previous prime is 6145725449. The next prime is 6145725473. The reversal of 6145725465 is 5645275416.

6145725465 is a `hidden beast` number, since 6 + 14 + 572 + 5 + 4 + 65 = 666.

It is not a de Polignac number, because 6145725465 - 24 = 6145725449 is a prime.

It is a super-2 number, since 2×61457254652 = 75539882982298932450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6145725465.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202110 + ... + 230520.

It is an arithmetic number, because the mean of its divisors is an integer number (132968160).

Almost surely, 26145725465 is an apocalyptic number.

It is an amenable number.

6145725465 is an abundant number, since it is smaller than the sum of its proper divisors (6619217895).

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

6145725465 is a wasteful number, since it uses less digits than its factorization.

6145725465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28475 (or 28472 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 6145725465 is about 78394.6775297915. The cubic root of 6145725465 is about 1831.7142272771.

The spelling of 6145725465 in words is "six billion, one hundred forty-five million, seven hundred twenty-five thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 15 19 23 33 45 55 57 69 95 99 115 165 171 207 209 253 285 345 437 495 627 759 855 1035 1045 1265 1311 1881 2185 2277 3135 3795 3933 4807 6555 9405 11385 14421 19665 24035 28411 43263 72105 85233 142055 216315 255699 312521 426165 539809 653453 937563 1278495 1562605 1619427 1960359 2699045 2812689 3267265 4687815 4858281 5881077 5937899 7187983 8097135 9801795 12415607 14063445 17813697 21563949 24291405 29405385 29689495 35939915 37246821 53441091 62078035 64691847 89068485 107819745 111740463 136571677 186234105 267205455 323459235 409715031 558702315 682858385 1229145093 2048575155 6145725465