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638866108640 = 255109173211747
BaseRepresentation
bin10010100101111110110…
…00110011000011100000
32021002000200021221110102
421102333120303003200
540431344210434030
61205254021521532
764104461216054
oct11227730630340
92232020257412
10638866108640
11226a3a299241
12a3996b732a8
1348324b23b26
1422cc800dc64
1511942026c45
hex94bf6330e0

638866108640 has 96 divisors (see below), whose sum is σ = 1531979840160. Its totient is φ = 251737196544.

The previous prime is 638866108607. The next prime is 638866108649. The reversal of 638866108640 is 46801668836.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638866108649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2911247 + ... + 3122993.

It is an arithmetic number, because the mean of its divisors is an integer number (15958123335).

Almost surely, 2638866108640 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 638866108640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765989920080).

638866108640 is an abundant number, since it is smaller than the sum of its proper divisors (893113731520).

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

638866108640 is a wasteful number, since it uses less digits than its factorization.

638866108640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212044 (or 212036 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 56.

The spelling of 638866108640 in words is "six hundred thirty-eight billion, eight hundred sixty-six million, one hundred eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 173 218 346 436 545 692 865 872 1090 1384 1730 1744 2180 2768 3460 3488 4360 5536 6920 8720 13840 17440 18857 27680 37714 75428 94285 150856 188570 211747 301712 377140 423494 603424 754280 846988 1058735 1508560 1693976 2117470 3017120 3387952 4234940 6775904 8469880 16939760 23080423 33879520 36632231 46160846 73264462 92321692 115402115 146528924 183161155 184643384 230804230 293057848 366322310 369286768 461608460 586115696 732644620 738573536 923216920 1172231392 1465289240 1846433840 2930578480 3692867680 3992913179 5861156960 7985826358 15971652716 19964565895 31943305432 39929131790 63886610864 79858263580 127773221728 159716527160 319433054320 638866108640