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67830242784 = 253739678973
BaseRepresentation
bin111111001010111111…
…110101110111100000
320111002012120100112020
4333022333311313200
52102404020232114
651054421301440
74620616356603
oct771277656740
9214065510466
1067830242784
1126848449397
1211190264880
13651ca74645
1433d67ac33a
151b6edb9aa9
hexfcaff5de0

67830242784 has 48 divisors (see below), whose sum is σ = 180493507152. Its totient is φ = 22300351488.

The previous prime is 67830242771. The next prime is 67830242797. The reversal of 67830242784 is 48724203876.

It is an interprime number because it is at equal distance from previous prime (67830242771) and next prime (67830242797).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×678302427842 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4832479 + ... + 4846494.

It is an arithmetic number, because the mean of its divisors is an integer number (3760281399).

Almost surely, 267830242784 is an apocalyptic number.

It is an amenable number.

67830242784 is an abundant number, since it is smaller than the sum of its proper divisors (112663264368).

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

67830242784 is a wasteful number, since it uses less digits than its factorization.

67830242784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9679059 (or 9679051 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 67830242784 in words is "sixty-seven billion, eight hundred thirty million, two hundred forty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 9678973 19357946 29036919 38715892 58073838 77431784 116147676 154863568 232295352 309727136 464590704 706565029 929181408 1413130058 2119695087 2826260116 4239390174 5652520232 8478780348 11305040464 16957560696 22610080928 33915121392 67830242784