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4735400749164 = 2234137106682003
BaseRepresentation
bin100010011101000101111…
…1000010010100001101100
3121202200220012221111010000
41010322023320102201230
51110041100042433124
614023225120144300
7666056434144641
oct104721370224154
917680805844100
104735400749164
1115662aa2a9058
12645904168090
13284714500917
141252a206bdc8
15832a2da36c9
hex44e8be1286c

4735400749164 has 60 divisors (see below), whose sum is σ = 12469632719544. Its totient is φ = 1566945245376.

The previous prime is 4735400749159. The next prime is 4735400749223. The reversal of 4735400749164 is 4619470045374.

4735400749164 is a `hidden beast` number, since 4 + 7 + 3 + 5 + 400 + 74 + 9 + 164 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4735400749164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53296614 + ... + 53385389.

Almost surely, 24735400749164 is an apocalyptic number.

It is an amenable number.

4735400749164 is an abundant number, since it is smaller than the sum of its proper divisors (7734231970380).

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

4735400749164 is a wasteful number, since it uses less digits than its factorization.

4735400749164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106682156 (or 106682145 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 4735400749164 in words is "four trillion, seven hundred thirty-five billion, four hundred million, seven hundred forty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 137 162 274 324 411 548 822 1233 1644 2466 3699 4932 7398 11097 14796 22194 44388 106682003 213364006 320046009 426728012 640092018 960138027 1280184036 1920276054 2880414081 3840552108 5760828162 8641242243 11521656324 14615434411 17282484486 29230868822 34564968972 43846303233 58461737644 87692606466 131538909699 175385212932 263077819398 394616729097 526155638796 789233458194 1183850187291 1578466916388 2367700374582 4735400749164