Search a number
-
+
634065615145004 = 2272191034333817679
BaseRepresentation
bin1001000000101011011110011…
…1110000010100100000101100
310002011001002011220202100202012
42100022313213300110200230
51131102012334434120004
610124313420010020352
7250361505014332400
oct22012674760244054
93064032156670665
10634065615145004
1117403a798769229
125b1461b77176b8
13212a51918cc593
14b280d22079100
154d4877d61b46e
hex240ade7c1482c

634065615145004 has 144 divisors (see below), whose sum is σ = 1375072139750400. Its totient is φ = 254351911048704.

The previous prime is 634065615145003. The next prime is 634065615145057. The reversal of 634065615145004 is 400541516560436.

It is not an unprimeable number, because it can be changed into a prime (634065615145003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164177837 + ... + 167995515.

It is an arithmetic number, because the mean of its divisors is an integer number (9549112081600).

Almost surely, 2634065615145004 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 634065615145004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687536069875200).

634065615145004 is an abundant number, since it is smaller than the sum of its proper divisors (741006524605396).

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

634065615145004 is a wasteful number, since it uses less digits than its factorization.

634065615145004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818252 (or 3818243 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 50.

The spelling of 634065615145004 in words is "six hundred thirty-four trillion, sixty-five billion, six hundred fifteen million, one hundred forty-five thousand, four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 103 133 196 206 266 412 433 532 721 866 931 1442 1732 1862 1957 2884 3031 3724 3914 5047 6062 7828 8227 10094 12124 13699 16454 20188 21217 27398 32908 42434 44599 54796 57589 84868 89198 95893 115178 178396 191786 230356 312193 383572 403123 624386 806246 847381 1248772 1612492 1694762 2185351 3389524 3817679 4370702 5931667 7635358 8741404 11863334 15270716 23726668 26723753 41521669 53447506 72535901 83043338 106895012 145071802 166086676 187066271 290143604 374132542 393220937 507751307 748265084 786441874 1015502614 1572883748 1653055007 2031005228 2752546559 3306110014 3554259149 5505093118 6612220028 7108518298 7471197803 11010186236 11571385049 14217036596 14942395606 19267825913 23142770098 29884791212 31408045133 38535651826 46285540196 52298384621 62816090266 77071303652 80999695343 104596769242 125632180532 161999390686 170264665721 209193538484 219856315931 323998781372 340529331442 366088692347 439712631862 681058662884 732177384694 879425263724 1191852660047 1464354769388 1538994211517 2383705320094 3077988423034 3235028648699 4767410640188 6155976846068 6470057297398 8342968620329 12940114594796 16685937240658 22645200540893 33371874481316 45290401081786 90580802163572 158516403786251 317032807572502 634065615145004