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642502130046304 = 251131157375033931
BaseRepresentation
bin1001001000010110100010111…
…1001110101001010101100000
310010020220121022010221022110011
42102011220233032221111200
51133203223330242440204
610154253223115214304
7252222150510646063
oct22205505716512540
93106817263838404
10642502130046304
111767a2694462640
1260089273447394
13217678c9b64438
14b4933aa2888da
154e42e4c9ea304
hex2485a2f3a9560

642502130046304 has 96 divisors (see below), whose sum is σ = 1433505699505152. Its totient is φ = 280825406784000.

The previous prime is 642502130046253. The next prime is 642502130046323. The reversal of 642502130046304 is 403640031205246.

It is a super-2 number, since 2×6425021300463042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185803782 + ... + 189230149.

It is an arithmetic number, because the mean of its divisors is an integer number (14932351036512).

Almost surely, 2642502130046304 is an apocalyptic number.

It is an amenable number.

642502130046304 is an abundant number, since it is smaller than the sum of its proper divisors (791003569458848).

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

642502130046304 is a wasteful number, since it uses less digits than its factorization.

642502130046304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375034140 (or 375034132 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 642502130046304 in words is "six hundred forty-two trillion, five hundred two billion, one hundred thirty million, forty-six thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 157 176 248 314 341 352 496 628 682 992 1256 1364 1727 2512 2728 3454 4867 5024 5456 6908 9734 10912 13816 19468 27632 38936 53537 55264 77872 107074 155744 214148 428296 856592 1713184 375033931 750067862 1500135724 3000271448 4125373241 6000542896 8250746482 11626051861 12001085792 16501492964 23252103722 33002985928 46504207444 58880327167 66005971856 93008414888 117760654334 127886570471 132011943712 186016829776 235521308668 255773140942 372033659552 471042617336 511546281884 647683598837 942085234672 1023092563768 1295367197674 1825290142177 1884170469344 2046185127536 2590734395348 3650580284354 4092370255072 5181468790696 7301160568708 10362937581392 14602321137416 20078191563947 20725875162784 29204642274832 40156383127894 58409284549664 80312766255788 160625532511576 321251065023152 642502130046304