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601242067405408 = 251113436133012641
BaseRepresentation
bin1000100010110100111001001…
…1110110100000101001100000
32220211211011212102211220020211
42020231032103312200221200
51112301222223223433113
65530422443115343504
7240433206631065052
oct21055162366405140
92824734772756224
10601242067405408
1116463536877a390
12575248a7a51b94
131ca63b64591aa0
14a8683b27678d2
154979a45119b3d
hex222d393da0a60

601242067405408 has 96 divisors (see below), whose sum is σ = 1390667408901792. Its totient is φ = 252263530905600.

The previous prime is 601242067405403. The next prime is 601242067405423. The reversal of 601242067405408 is 804504760242106.

It is a super-2 number, since 2×6012420674054082 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601242067405403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198066768 + ... + 201079408.

It is an arithmetic number, because the mean of its divisors is an integer number (14486118842727).

Almost surely, 2601242067405408 is an apocalyptic number.

It is an amenable number.

601242067405408 is an abundant number, since it is smaller than the sum of its proper divisors (789425341496384).

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

601242067405408 is a wasteful number, since it uses less digits than its factorization.

601242067405408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056288 (or 3056280 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 49.

The spelling of 601242067405408 in words is "six hundred one trillion, two hundred forty-two billion, sixty-seven million, four hundred five thousand, four hundred eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 43613 87226 174452 348904 479743 566969 697808 959486 1133938 1395616 1918972 2267876 3012641 3837944 4535752 6025282 6236659 7675888 9071504 12050564 12473318 15351776 18143008 24101128 24946636 33139051 39164333 48202256 49893272 66278102 78328666 96404512 99786544 132556204 156657332 199573088 265112408 313314664 430807663 530224816 626629328 861615326 1060449632 1253258656 1723230652 3446461304 6892922608 13785845216 131390311933 262780623866 525561247732 1051122495464 1445293431263 1708074055129 2102244990928 2890586862526 3416148110258 4204489981856 5781173725052 6832296220516 11562347450104 13664592441032 18788814606419 23124694900208 27329184882064 37577629212838 46249389800416 54658369764128 75155258425676 150310516851352 300621033702704 601242067405408