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542046334424 = 23783151772313
BaseRepresentation
bin1111110001101000111…
…10101010110111011000
31220211010010210210211212
413320310132222313120
532340102330200144
61053002422042252
754106261551620
oct7706436526730
91824103723755
10542046334424
1119997602a911
1289076279388
133c16514b4ba
141c3414ab880
15e1770d149e
hex7e347aadd8

542046334424 has 64 divisors (see below), whose sum is σ = 1183308618240. Its totient is φ = 227986502400.

The previous prime is 542046334421. The next prime is 542046334429. The reversal of 542046334424 is 424433640245.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542046334421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315692 + ... + 1088004.

It is an arithmetic number, because the mean of its divisors is an integer number (18489197160).

Almost surely, 2542046334424 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 542046334424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591654309120).

542046334424 is an abundant number, since it is smaller than the sum of its proper divisors (641262283816).

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

542046334424 is a wasteful number, since it uses less digits than its factorization.

542046334424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772560 (or 772556 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 41.

Adding to 542046334424 its reverse (424433640245), we get a palindrome (966479974669).

The spelling of 542046334424 in words is "five hundred forty-two billion, forty-six million, three hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 83 151 166 302 332 581 604 664 1057 1162 1208 2114 2324 4228 4648 8456 12533 25066 50132 87731 100264 175462 350924 701848 772313 1544626 3089252 5406191 6178504 10812382 21624764 43249528 64101979 116619263 128203958 233238526 256407916 448713853 466477052 512815832 816334841 897427706 932954104 1632669682 1794855412 3265339364 3589710824 6530678728 9679398829 19358797658 38717595316 67755791803 77435190632 135511583606 271023167212 542046334424