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4331593237504 = 21013250032
BaseRepresentation
bin111111000010000111000…
…100111000010000000000
3120100002121011212111000211
4333002013010320100000
51031432100332100004
613113523443523504
7624642630010561
oct77020704702000
916302534774024
104331593237504
111420022504905
1259b5a9989594
132556100c8100
1410d916340168
1577a1c0a8504
hex3f087138400

4331593237504 has 99 divisors (see below), whose sum is σ = 9378140904813. Its totient is φ = 1998797279232.

The previous prime is 4331593237481. The next prime is 4331593237541. The reversal of 4331593237504 is 4057323951334.

The square root of 4331593237504 is 2081248.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 640768230400 + 3690825007104 = 800480^2 + 1921152^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 865796667 + ... + 865801669.

Almost surely, 24331593237504 is an apocalyptic number.

4331593237504 is the 2081248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4331593237504

4331593237504 is an abundant number, since it is smaller than the sum of its proper divisors (5046547667309).

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

4331593237504 is an frugal number, since it uses more digits than its factorization.

4331593237504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10052 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 49.

Multiplying 4331593237504 by its sum of digits (49), we get a square (212248068637696 = 145687362).

The spelling of 4331593237504 in words is "four trillion, three hundred thirty-one billion, five hundred ninety-three million, two hundred thirty-seven thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2704 3328 5003 5408 6656 10006 10816 13312 20012 21632 40024 43264 65039 80048 86528 130078 160096 173056 260156 320192 520312 640384 845507 1040624 1280768 1691014 2081248 2561536 3382028 4162496 5123072 6764056 8324992 13528112 16649984 25030009 27056224 33299968 50060018 54112448 66599936 100120036 108224896 200240072 216449792 325390117 400480144 432899584 650780234 800960288 865799168 1301560468 1601920576 2603120936 3203841152 4230071521 5206241872 6407682304 8460143042 10412483744 12815364608 16920286084 20824967488 25630729216 33840572168 41649934976 67681144336 83299869952 135362288672 166599739904 270724577344 333199479808 541449154688 1082898309376 2165796618752 4331593237504