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638638346840 = 235132959717797
BaseRepresentation
bin10010100101100011100…
…11111101001001011000
32021001102210201110000012
421102301303331021120
540430412404044330
61205215244101052
764066024244354
oct11226163751130
92231383643005
10638638346840
1122693277444a
12a3932834788
13482b9899530
1422ca5a82464
151192c036c95
hex94b1cfd258

638638346840 has 128 divisors (see below), whose sum is σ = 1627965864000. Its totient is φ = 223814535168.

The previous prime is 638638346831. The next prime is 638638346903. The reversal of 638638346840 is 48643836836.

638638346840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a self number, because there is not a number n which added to its sum of digits gives 638638346840.

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, 530822 + ... + 1248618.

Almost surely, 2638638346840 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 638638346840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813982932000).

638638346840 is an abundant number, since it is smaller than the sum of its proper divisors (989327517160).

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

638638346840 is a wasteful number, since it uses less digits than its factorization.

638638346840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717909 (or 717905 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 59.

The spelling of 638638346840 in words is "six hundred thirty-eight billion, six hundred thirty-eight million, three hundred forty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 59 65 104 116 118 130 145 232 236 260 290 295 377 472 520 580 590 754 767 1160 1180 1508 1534 1711 1885 2360 3016 3068 3422 3770 3835 6136 6844 7540 7670 8555 13688 15080 15340 17110 22243 30680 34220 44486 68440 88972 111215 177944 222430 444860 717797 889720 1435594 2871188 3588985 5742376 7177970 9331361 14355940 18662722 20816113 28711880 37325444 41632226 42350023 46656805 74650888 83264452 84700046 93313610 104080565 166528904 169400092 186627220 208161130 211750115 270609469 338800184 373254440 416322260 423500230 541218938 550550299 832644520 847000460 1082437876 1101100598 1228150667 1353047345 1694000920 2164875752 2202201196 2456301334 2706094690 2752751495 4404402392 4912602668 5412189380 5505502990 6140753335 9825205336 10824378760 11011005980 12281506670 15965958671 22022011960 24563013340 31931917342 49126026680 63863834684 79829793355 127727669368 159659586710 319319173420 638638346840