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1483690094064 = 243237475158613
BaseRepresentation
bin10101100101110010110…
…100100010110111110000
312020211122220200001220100
4111211302310202313300
5143302044131002224
63053333043512400
7212123136500253
oct25456264426760
95224586601810
101483690094064
11522258418692
121bb670988700
13a9bb03a47a9
1451b4d4a709a
15288da589ac9
hex15972d22df0

1483690094064 has 120 divisors (see below), whose sum is σ = 4265465510592. Its totient is φ = 481087296000.

The previous prime is 1483690094039. The next prime is 1483690094071. The reversal of 1483690094064 is 4604900963841.

It is a happy number.

1483690094064 is a `hidden beast` number, since 1 + 483 + 69 + 0 + 0 + 9 + 40 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1483690094064.

It is a congruent number.

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, 25284022 + ... + 25342634.

Almost surely, 21483690094064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1483690094064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132732755296).

1483690094064 is an abundant number, since it is smaller than the sum of its proper divisors (2781775416528).

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

1483690094064 is a wasteful number, since it uses less digits than its factorization.

1483690094064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63415 (or 63406 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 1483690094064 in words is "one trillion, four hundred eighty-three billion, six hundred ninety million, ninety-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 4751 5328 9502 14253 19004 28506 38008 42759 57012 58613 76016 85518 114024 117226 171036 175787 175839 228048 234452 342072 351574 351678 468904 527361 527517 684144 703148 703356 937808 1054722 1055034 1406296 1406712 1582083 2109444 2110068 2168681 2812592 2813424 3164166 4218888 4220136 4337362 6328332 6506043 8437776 8440272 8674724 12656664 13012086 17349448 19518129 25313328 26024172 34698896 39036258 52048344 78072516 104096688 156145032 278470363 312290064 556940726 835411089 1113881452 1670822178 2227762904 2506233267 3341644356 4455525808 5012466534 6683288712 10024933068 10303403431 13366577424 20049866136 20606806862 30910210293 40099732272 41213613724 61820420586 82427227448 92730630879 123640841172 164854454896 185461261758 247281682344 370922523516 494563364688 741845047032 1483690094064