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23043006306 = 2338325120483
BaseRepresentation
bin10101011101011110…
…000101111101100010
32012110220111000011000
4111131132011331202
5334143002200211
614330311332430
71444012215255
oct253536057542
965426430130
1023043006306
1198551a3771
124571081116
132232c69198
1411884c509c
158ecea7656
hex55d785f62

23043006306 has 64 divisors (see below), whose sum is σ = 52032637440. Its totient is φ = 7557858000.

The previous prime is 23043006247. The next prime is 23043006319. The reversal of 23043006306 is 60360034032.

23043006306 is a `hidden beast` number, since 23 + 0 + 4 + 3 + 0 + 0 + 630 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 23043006306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1114741 + ... + 1135223.

It is an arithmetic number, because the mean of its divisors is an integer number (813009960).

Almost surely, 223043006306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23043006306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26016318720).

23043006306 is an abundant number, since it is smaller than the sum of its proper divisors (28989631134).

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

23043006306 is a wasteful number, since it uses less digits than its factorization.

23043006306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20828 (or 20822 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The spelling of 23043006306 in words is "twenty-three billion, forty-three million, six thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 251 498 502 747 753 1494 1506 2241 2259 4482 4518 6777 13554 20483 20833 40966 41666 61449 62499 122898 124998 184347 187497 368694 374994 553041 562491 1106082 1124982 1700089 3400178 5100267 5141233 10200534 10282466 15300801 15423699 30601602 30847398 45902403 46271097 91804806 92542194 138813291 277626582 426722339 853444678 1280167017 2560334034 3840501051 7681002102 11521503153 23043006306