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5201845506 = 23211139972027
BaseRepresentation
bin1001101100000110…
…11101110100000010
3111102112012010112200
410312003131310002
541123133024011
62220101334030
7242622646224
oct46603356402
914375163480
105201845506
11222a340580
121012107316
1364b910bc0
14374c04414
15206a27856
hex1360ddd02

5201845506 has 96 divisors (see below), whose sum is σ = 13260881088. Its totient is φ = 1452885120.

The previous prime is 5201845501. The next prime is 5201845559. The reversal of 5201845506 is 6055481025.

5201845506 is a `hidden beast` number, since 5 + 20 + 1 + 84 + 550 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5201845501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2565265 + ... + 2567291.

It is an arithmetic number, because the mean of its divisors is an integer number (138134178).

Almost surely, 25201845506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5201845506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630440544).

5201845506 is an abundant number, since it is smaller than the sum of its proper divisors (8059035582).

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

5201845506 is a wasteful number, since it uses less digits than its factorization.

5201845506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 5201845506 is about 72123.8206558693. The cubic root of 5201845506 is about 1732.6831414998.

The spelling of 5201845506 in words is "five billion, two hundred one million, eight hundred forty-five thousand, five hundred six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 997 1287 1994 2027 2574 2991 4054 5982 6081 8973 10967 12162 12961 17946 18243 21934 22297 25922 26351 32901 36486 38883 44594 52702 65802 66891 77766 79053 98703 116649 133782 142571 158106 197406 200673 233298 237159 285142 289861 401346 427713 474318 579722 855426 869583 1283139 1739166 2020919 2566278 2608749 4041838 5217498 6062757 12125514 18188271 22230109 26271947 36376542 44460218 52543894 66690327 78815841 133380654 157631682 200070981 236447523 288991417 400141962 472895046 577982834 866974251 1733948502 2600922753 5201845506