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10483424475732 = 223213193311588453
BaseRepresentation
bin1001100010001101110011…
…0010101011101001010100
31101010012112212200002101200
42120203130302223221110
52333230023131210412
634144004013152500
72131255013524215
oct230433462535124
941105485602350
1010483424475732
113381aa48a582a
12121391178b730
135b0776213b70
14283586ba940c
15132a707999dc
hex988dccaba54

10483424475732 has 72 divisors (see below), whose sum is σ = 28552977225864. Its totient is φ = 3224000054016.

The previous prime is 10483424475709. The next prime is 10483424475737. The reversal of 10483424475732 is 23757442438401.

10483424475732 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 3 + 4 + 24 + 47 + 573 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 821858286096 + 9661566189636 = 906564^2 + 3108306^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10483424475737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4889583 + ... + 6698870.

It is an arithmetic number, because the mean of its divisors is an integer number (396569128137).

Almost surely, 210483424475732 is an apocalyptic number.

10483424475732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10483424475732 is an abundant number, since it is smaller than the sum of its proper divisors (18069552750132).

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

10483424475732 is a wasteful number, since it uses less digits than its factorization.

10483424475732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11590409 (or 11590404 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

It can be divided in two parts, 104834 and 24475732, that added together give a triangular number (24580566 = T7011).

The spelling of 10483424475732 in words is "ten trillion, four hundred eighty-three billion, four hundred twenty-four million, four hundred seventy-five thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1933 3866 5799 7732 11598 17397 23196 25129 34794 50258 69588 75387 100516 150774 226161 301548 452322 904644 11588453 23176906 34765359 46353812 69530718 104296077 139061436 150649889 208592154 301299778 417184308 451949667 602599556 903899334 1355849001 1807798668 2711698002 5423396004 22400479649 44800959298 67201438947 89601918596 134402877894 201604316841 268805755788 291206235437 403208633682 582412470874 806417267364 873618706311 1164824941748 1747237412622 2620856118933 3494474825244 5241712237866 10483424475732