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64354450042146 = 23112471886010493
BaseRepresentation
bin11101010000111101100000…
…01000100110110100100010
322102212020002021100222111010
432220132300020212310202
531413340403202322041
6344512005355001350
716361312156536605
oct1650366010466442
9272766067328433
1064354450042146
1119561629371600
1272743a7139256
1329ba7a2179b74
1411c6ab452c33c
157690185d2a16
hex3a87b0226d22

64354450042146 has 48 divisors (see below), whose sum is σ = 144483491924352. Its totient is φ = 19086426179040.

The previous prime is 64354450042109. The next prime is 64354450042177. The reversal of 64354450042146 is 64124005445346.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 64354450042095 and 64354450042104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 942971125 + ... + 943039368.

It is an arithmetic number, because the mean of its divisors is an integer number (3010072748424).

Almost surely, 264354450042146 is an apocalyptic number.

64354450042146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64354450042146 is an abundant number, since it is smaller than the sum of its proper divisors (80129041882206).

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

64354450042146 is a wasteful number, since it uses less digits than its factorization.

64354450042146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886010567 (or 1886010556 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 64354450042146 in words is "sixty-four trillion, three hundred fifty-four billion, four hundred fifty million, forty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 33 47 66 94 121 141 242 282 363 517 726 1034 1551 3102 5687 11374 17061 34122 1886010493 3772020986 5658031479 11316062958 20746115423 41492230846 62238346269 88642493171 124476692538 177284986342 228207269653 265927479513 456414539306 531854959026 684621808959 975067424881 1369243617918 1950134849762 2925202274643 5850404549286 10725741673691 21451483347382 32177225021073 64354450042146