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4765117320096 = 253717340988141
BaseRepresentation
bin100010101010111011100…
…1000000000101110100000
3121212112121012220200220020
41011111313020000232200
51111032430013220341
614045021545313440
71001161022631660
oct105256710005640
917775535820806
104765117320096
111577969556691
1264b618195880
1328746bc4a5c3
141268c09b81a0
1583e41b93566
hex45577200ba0

4765117320096 has 96 divisors (see below), whose sum is σ = 14377984403328. Its totient is φ = 1353592335360.

The previous prime is 4765117320017. The next prime is 4765117320143. The reversal of 4765117320096 is 6900237115674.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20377815 + ... + 20610326.

It is an arithmetic number, because the mean of its divisors is an integer number (149770670868).

Almost surely, 24765117320096 is an apocalyptic number.

It is an amenable number.

4765117320096 is an abundant number, since it is smaller than the sum of its proper divisors (9612867083232).

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

4765117320096 is a wasteful number, since it uses less digits than its factorization.

4765117320096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40988334 (or 40988326 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 4765117320096 in words is "four trillion, seven hundred sixty-five billion, one hundred seventeen million, three hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 173 224 336 346 519 672 692 1038 1211 1384 2076 2422 2768 3633 4152 4844 5536 7266 8304 9688 14532 16608 19376 29064 38752 58128 116256 40988141 81976282 122964423 163952564 245928846 286916987 327905128 491857692 573833974 655810256 860750961 983715384 1147667948 1311620512 1721501922 1967430768 2295335896 3443003844 3934861536 4590671792 6886007688 7090948393 9181343584 13772015376 14181896786 21272845179 27544030752 28363793572 42545690358 49636638751 56727587144 85091380716 99273277502 113455174288 148909916253 170182761432 198546555004 226910348576 297819832506 340365522864 397093110008 595639665012 680731045728 794186220016 1191279330024 1588372440032 2382558660048 4765117320096