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484110428130 = 23257773994087
BaseRepresentation
bin1110000101101110011…
…10101110011111100010
31201021120111011211100200
413002313032232133202
530412424232200010
61010221450330030
746655464513050
oct7026716563742
91637514154320
10484110428130
11177345796a1a
12799a7729916
1336861219a44
1419606bd91d0
15c8d5ba1cc0
hex70b73ae7e2

484110428130 has 96 divisors (see below), whose sum is σ = 1440361937664. Its totient is φ = 110510552448.

The previous prime is 484110428129. The next prime is 484110428149. The reversal of 484110428130 is 31824011484.

It is a happy number.

484110428130 is a `hidden beast` number, since 484 + 1 + 1 + 0 + 42 + 8 + 130 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10054 + ... + 984033.

It is an arithmetic number, because the mean of its divisors is an integer number (15003770184).

Almost surely, 2484110428130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484110428130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720180968832).

484110428130 is an abundant number, since it is smaller than the sum of its proper divisors (956251509534).

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

484110428130 is a wasteful number, since it uses less digits than its factorization.

484110428130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994880 (or 994877 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 484110428130 in words is "four hundred eighty-four billion, one hundred ten million, four hundred twenty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 773 1546 2319 3865 4638 5411 6957 7730 10822 11595 13914 16233 23190 27055 32466 34785 48699 54110 69570 81165 97398 162330 243495 486990 994087 1988174 2982261 4970435 5964522 6958609 8946783 9940870 13917218 14911305 17893566 20875827 29822610 34793045 41751654 44733915 62627481 69586090 89467830 104379135 125254962 208758270 313137405 626274810 768429251 1536858502 2305287753 3842146255 4610575506 5379004757 6915863259 7684292510 10758009514 11526438765 13831726518 16137014271 23052877530 26895023785 32274028542 34579316295 48411042813 53790047570 69158632590 80685071355 96822085626 161370142710 242055214065 484110428130