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638068117122 = 2349726472
BaseRepresentation
bin10010100100011111101…
…00101100111010000010
32020222222001201202220000
421102033310230322002
540423230414221442
61205042514100430
764045631336142
oct11221764547202
92228861652800
10638068117122
1122666a8aa417
12a37b387a716
13482286c51b7
1422c50048922
15118e6e49d4c
hex948fd2ce82

638068117122 has 90 divisors (see below), whose sum is σ = 1446873096537. Its totient is φ = 210171355776.

The previous prime is 638068117121. The next prime is 638068117157. The reversal of 638068117122 is 221711860836.

638068117122 is a `hidden beast` number, since 6 + 380 + 6 + 81 + 171 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 636406658001 + 1661459121 = 797751^2 + 40761^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=564831.

It is a super-2 number, since 2×6380681171222 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (638068117121) 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 44 ways as a sum of consecutive naturals, for example, 986194603 + ... + 986195249.

Almost surely, 2638068117122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638068117122

638068117122 is an abundant number, since it is smaller than the sum of its proper divisors (808804979415).

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

638068117122 is an frugal number, since it uses more digits than its factorization.

638068117122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

Adding to 638068117122 its reverse (221711860836), we get a palindrome (859779977958).

The spelling of 638068117122 in words is "six hundred thirty-eight billion, sixty-eight million, one hundred seventeen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 291 582 647 873 1294 1746 1941 2619 3882 5238 5823 7857 9409 11646 15714 17469 18818 28227 34938 52407 56454 62759 84681 104814 125518 169362 188277 254043 376554 418609 508086 564831 762129 837218 1129662 1255827 1524258 1694493 2511654 3388986 3767481 5083479 6087623 7534962 10166958 11302443 12175246 18262869 22604886 33907329 36525738 40605073 54788607 67814658 81210146 109577214 121815219 164365821 243630438 328731642 365445657 493097463 730891314 986194926 1096336971 2192673942 3289010913 3938692081 6578021826 7877384162 11816076243 23632152486 35448228729 70896457458 106344686187 212689372374 319034058561 638068117122