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4536620640 = 253258337957
BaseRepresentation
bin1000011100110011…
…10101011001100000
3102201011110012120200
410032121311121200
533242333330030
62030055305200
7220264432146
oct41631653140
912634405520
104536620640
111a18893262
12a6737b200
13573b59116
1431071d596
151b8423d60
hex10e675660

4536620640 has 144 divisors (see below), whose sum is σ = 15668151408. Its totient is φ = 1195158528.

The previous prime is 4536620639. The next prime is 4536620659. The reversal of 4536620640 is 460266354.

4536620640 is a `hidden beast` number, since 4 + 5 + 3 + 6 + 6 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4536620595 and 4536620604.

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, 100542 + ... + 138498.

It is an arithmetic number, because the mean of its divisors is an integer number (108806607).

Almost surely, 24536620640 is an apocalyptic number.

4536620640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4536620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7834075704).

4536620640 is an abundant number, since it is smaller than the sum of its proper divisors (11131530768).

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

4536620640 is a wasteful number, since it uses less digits than its factorization.

4536620640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38061 (or 38050 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4536620640 is about 67354.4403881437. The cubic root of 4536620640 is about 1655.4300005646.

Adding to 4536620640 its reverse (460266354), we get a palindrome (4996886994).

The spelling of 4536620640 in words is "four billion, five hundred thirty-six million, six hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 83 90 96 120 144 160 166 180 240 249 288 332 360 415 480 498 664 720 747 830 996 1245 1328 1440 1494 1660 1992 2490 2656 2988 3320 3735 3984 4980 5976 6640 7470 7968 9960 11952 13280 14940 19920 23904 29880 37957 39840 59760 75914 113871 119520 151828 189785 227742 303656 341613 379570 455484 569355 607312 683226 759140 910968 1138710 1214624 1366452 1518280 1708065 1821936 2277420 2732904 3036560 3150431 3416130 3643872 4554840 5465808 6073120 6300862 6832260 9109680 9451293 10931616 12601724 13664520 15752155 18219360 18902586 25203448 27329040 28353879 31504310 37805172 47256465 50406896 54658080 56707758 63008620 75610344 94512930 100813792 113415516 126017240 141769395 151220688 189025860 226831032 252034480 283538790 302441376 378051720 453662064 504068960 567077580 756103440 907324128 1134155160 1512206880 2268310320 4536620640