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285330240672 = 25319315046163
BaseRepresentation
bin1000010011011110000…
…00011111010010100000
31000021111011012001002120
410021233000133102200
514133324020200142
6335025013144240
726420515012611
oct4115700372240
91007434161076
10285330240672
1110000a533a64
124737062b080
1320ba283b049
14db4ab23c08
15764e87d7ec
hex426f01f4a0

285330240672 has 96 divisors (see below), whose sum is σ = 813845329920. Its totient is φ = 87197679360.

The previous prime is 285330240647. The next prime is 285330240709. The reversal of 285330240672 is 276042033582.

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

It is a super-3 number, since 3×2853302406723 (a number of 35 digits) contains 333 as substring.

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, 2466538 + ... + 2579625.

It is an arithmetic number, because the mean of its divisors is an integer number (8477555520).

Almost surely, 2285330240672 is an apocalyptic number.

It is an amenable number.

285330240672 is an abundant number, since it is smaller than the sum of its proper divisors (528515089248).

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

285330240672 is a wasteful number, since it uses less digits than its factorization.

285330240672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046226 (or 5046218 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 285330240672 in words is "two hundred eighty-five billion, three hundred thirty million, two hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 228 248 304 372 456 496 589 608 744 912 992 1178 1488 1767 1824 2356 2976 3534 4712 7068 9424 14136 18848 28272 56544 5046163 10092326 15138489 20184652 30276978 40369304 60553956 80738608 95877097 121107912 156431053 161477216 191754194 242215824 287631291 312862106 383508388 469293159 484431648 575262582 625724212 767016776 938586318 1150525164 1251448424 1534033552 1877172636 2301050328 2502896848 2972190007 3068067104 3754345272 4602100656 5005793696 5944380014 7508690544 8916570021 9204201312 11888760028 15017381088 17833140042 23777520056 35666280084 47555040112 71332560168 95110080224 142665120336 285330240672