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63003113040 = 2435779474707
BaseRepresentation
bin111010101011010001…
…110011011001010000
320000121210110202101010
4322223101303121100
52013012244104130
644535423210520
74360163424210
oct725321633120
9200553422333
1063003113040
11247a068436a
1210263746a40
135c3099165a
14309966a240
15198b20e0b0
hexeab473650

63003113040 has 160 divisors (see below), whose sum is σ = 226036961280. Its totient is φ = 14218394112.

The previous prime is 63003113029. The next prime is 63003113051. The reversal of 63003113040 is 4031130036.

63003113040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (63003113029) and next prime (63003113051).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 63003112998 and 63003113016.

It is a congruent number.

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, 104634 + ... + 370073.

It is an arithmetic number, because the mean of its divisors is an integer number (1412731008).

Almost surely, 263003113040 is an apocalyptic number.

63003113040 is a gapful number since it is divisible by the number (60) 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 63003113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113018480640).

63003113040 is an abundant number, since it is smaller than the sum of its proper divisors (163033848240).

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

63003113040 is a wasteful number, since it uses less digits than its factorization.

63003113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474809 (or 474803 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 63003113040 its reverse (4031130036), we get a palindrome (67034243076).

The spelling of 63003113040 in words is "sixty-three billion, three million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 79 80 84 105 112 120 140 158 168 210 237 240 280 316 336 395 420 474 553 560 632 790 840 948 1106 1185 1264 1580 1659 1680 1896 2212 2370 2765 3160 3318 3792 4424 4740 5530 6320 6636 8295 8848 9480 11060 13272 16590 18960 22120 26544 33180 44240 66360 132720 474707 949414 1424121 1898828 2373535 2848242 3322949 3797656 4747070 5696484 6645898 7120605 7595312 9494140 9968847 11392968 13291796 14241210 16614745 18988280 19937694 22785936 26583592 28482420 33229490 37501853 37976560 39875388 49844235 53167184 56964840 66458980 75003706 79750776 99688470 112505559 113929680 132917960 150007412 159501552 187509265 199376940 225011118 262512971 265835920 300014824 375018530 398753880 450022236 525025942 562527795 600029648 750037060 787538913 797507760 900044472 1050051884 1125055590 1312564855 1500074120 1575077826 1800088944 2100103768 2250111180 2625129710 3000148240 3150155652 3937694565 4200207536 4500222360 5250259420 6300311304 7875389130 9000444720 10500518840 12600622608 15750778260 21001037680 31501556520 63003113040