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4556145636 = 2232725348733
BaseRepresentation
bin1000011111001000…
…10100001111100100
3102202112012011211200
410033210110033210
533312333130021
62032034002500
7220622412300
oct41744241744
912675164750
104556145636
111a28909719
12a71a16430
13577c04283
14313162d00
151b9ece126
hex10f9143e4

4556145636 has 108 divisors (see below), whose sum is σ = 13650295932. Its totient is φ = 1277168256.

The previous prime is 4556145631. The next prime is 4556145683. The reversal of 4556145636 is 6365416554.

4556145636 is a `hidden beast` number, since 4 + 5 + 5 + 6 + 1 + 4 + 5 + 636 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3335062500 + 1221083136 = 57750^2 + 34944^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4556145591 and 4556145600.

It is not an unprimeable number, because it can be changed into a prime (4556145631) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69126 + ... + 117858.

It is an arithmetic number, because the mean of its divisors is an integer number (126391629).

Almost surely, 24556145636 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 4556145636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6825147966).

4556145636 is an abundant number, since it is smaller than the sum of its proper divisors (9094150296).

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

4556145636 is a wasteful number, since it uses less digits than its factorization.

4556145636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48810 (or 48798 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The square root of 4556145636 is about 67499.2269289064. The cubic root of 4556145636 is about 1657.8015165051.

The spelling of 4556145636 in words is "four billion, five hundred fifty-six million, one hundred forty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 53 63 84 98 106 126 147 159 196 212 252 294 318 371 441 477 588 636 742 882 954 1113 1484 1764 1908 2226 2597 3339 4452 5194 6678 7791 10388 13356 15582 23373 31164 46746 48733 93492 97466 146199 194932 292398 341131 438597 584796 682262 877194 1023393 1364524 1754388 2046786 2387917 2582849 3070179 4093572 4775834 5165698 6140358 7163751 7748547 9551668 10331396 12280716 14327502 15497094 18079943 21491253 23245641 28655004 30994188 36159886 42982506 46491282 54239829 72319772 85965012 92982564 108479658 126559601 162719487 216959316 253119202 325438974 379678803 506238404 650877948 759357606 1139036409 1518715212 2278072818 4556145636