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638612000334 = 232721182379979
BaseRepresentation
bin10010100101100000011…
…11011100111001001110
32021001100222010220101200
421102300033130321032
540430334133002314
61205212503250330
764065254303400
oct11226017347116
92231328126350
10638612000334
11226919909980
12a3925a499a6
13482b42a3499
1422ca2384b70
1511929a80709
hex94b03dce4e

638612000334 has 144 divisors (see below), whose sum is σ = 1758042299520. Its totient is φ = 165669628320.

The previous prime is 638612000321. The next prime is 638612000339. The reversal of 638612000334 is 433000216836.

638612000334 is a `hidden beast` number, since 6 + 3 + 8 + 612 + 0 + 0 + 0 + 3 + 34 = 666.

638612000334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6386120003342 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638612000339) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7944757 + ... + 8024735.

It is an arithmetic number, because the mean of its divisors is an integer number (12208627080).

Almost surely, 2638612000334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638612000334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879021149760).

638612000334 is an abundant number, since it is smaller than the sum of its proper divisors (1119430299186).

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

638612000334 is a wasteful number, since it uses less digits than its factorization.

638612000334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80835 (or 80825 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 638612000334 in words is "six hundred thirty-eight billion, six hundred twelve million, three hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 823 882 1078 1386 1617 1646 2469 3234 4851 4938 5761 7407 9053 9702 11522 14814 17283 18106 27159 34566 40327 51849 54318 63371 79979 80654 81477 103698 120981 126742 159958 162954 190113 239937 241962 362943 380226 443597 479874 559853 570339 719811 725886 879769 887194 1119706 1140678 1330791 1439622 1679559 1759538 2639307 2661582 3359118 3918971 3992373 5038677 5278614 6158383 7837942 7917921 7984746 10077354 11756913 12316766 15835842 18475149 23513826 35270739 36950298 43108681 55425447 65822717 70541478 86217362 110850894 129326043 131645434 197468151 258652086 387978129 394936302 460759019 592404453 724049887 775956258 921518038 1184808906 1382277057 1448099774 2172149661 2764554114 3225313133 4146831171 4344299322 5068349209 6450626266 6516448983 8293662342 9675939399 10136698418 13032897966 15205047627 19351878798 29027818197 30410095254 35478444463 45615142881 58055636394 70956888926 91230285762 106435333389 212870666778 319306000167 638612000334