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63704742000 = 2435311719067
BaseRepresentation
bin111011010101000110…
…010011100001110000
320002102200201012100220
4323111012103201300
52020431403221000
645133205413040
74413443241534
oct732506234160
9202380635326
1063704742000
1125020736609
121041a70a180
136013151313
143124909bc4
1519ccb041a0
hexed5193870

63704742000 has 160 divisors (see below), whose sum is σ = 205582151424. Its totient is φ = 16971552000.

The previous prime is 63704741999. The next prime is 63704742001. The reversal of 63704742000 is 24740736.

It is an interprime number because it is at equal distance from previous prime (63704741999) and next prime (63704742001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63704742001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7021467 + ... + 7030533.

Almost surely, 263704742000 is an apocalyptic number.

63704742000 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 63704742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102791075712).

63704742000 is an abundant number, since it is smaller than the sum of its proper divisors (141877409424).

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

63704742000 is a wasteful number, since it uses less digits than its factorization.

63704742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10264 (or 10248 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The spelling of 63704742000 in words is "sixty-three billion, seven hundred four million, seven hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1171 1200 1500 2000 2342 3000 3513 4684 5855 6000 7026 9067 9368 11710 14052 17565 18134 18736 23420 27201 28104 29275 35130 36268 45335 46840 54402 56208 58550 70260 72536 87825 90670 93680 108804 117100 136005 140520 145072 146375 175650 181340 217608 226675 234200 272010 281040 292750 351300 362680 435216 439125 453350 468400 544020 585500 680025 702600 725360 878250 906700 1088040 1133375 1171000 1360050 1405200 1756500 1813400 2176080 2266750 2342000 2720100 3400125 3513000 3626800 4533500 5440200 6800250 7026000 9067000 10617457 10880400 13600500 18134000 21234914 27201000 31852371 42469828 53087285 54402000 63704742 84939656 106174570 127409484 159261855 169879312 212349140 254818968 265436425 318523710 424698280 509637936 530872850 637047420 796309275 849396560 1061745700 1274094840 1327182125 1592618550 2123491400 2548189680 2654364250 3185237100 3981546375 4246982800 5308728500 6370474200 7963092750 10617457000 12740948400 15926185500 21234914000 31852371000 63704742000