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5532552314000 = 245329188950497
BaseRepresentation
bin101000010000010010111…
…0100001011110010010000
3201120220111002020201121222
41100200211310023302100
51211121131343022000
615433341444504212
71110466542512165
oct120404564136220
921526432221558
105532552314000
1118433846032a8
127542b46ab068
133119432c1caa
14151ac3da206c
1598dab08ea85
hex50825d0bc90

5532552314000 has 160 divisors (see below), whose sum is σ = 13846612197600. Its totient is φ = 2135536435200.

The previous prime is 5532552313993. The next prime is 5532552314017. The reversal of 5532552314000 is 4132552355.

It can be written as a sum of positive squares in 16 ways, for example, as 4857545472256 + 675006841744 = 2203984^2 + 821588^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109536752 + ... + 109587248.

It is an arithmetic number, because the mean of its divisors is an integer number (86541326235).

Almost surely, 25532552314000 is an apocalyptic number.

5532552314000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5532552314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6923306098800).

5532552314000 is an abundant number, since it is smaller than the sum of its proper divisors (8314059883600).

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

5532552314000 is a wasteful number, since it uses less digits than its factorization.

5532552314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52438 (or 52422 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

Adding to 5532552314000 its reverse (4132552355), we get a palindrome (5536684866355).

The spelling of 5532552314000 in words is "five trillion, five hundred thirty-two billion, five hundred fifty-two million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 725 1000 1160 1450 1889 2000 2320 2900 3625 3778 5800 7250 7556 9445 11600 14500 15112 18890 29000 30224 37780 47225 50497 54781 58000 75560 94450 100994 109562 151120 188900 201988 219124 236125 252485 273905 377800 403976 438248 472250 504970 547810 755600 807952 876496 944500 1009940 1095620 1262425 1369525 1464413 1889000 2019880 2191240 2524850 2739050 2928826 3778000 4039760 4382480 5049700 5478100 5857652 6312125 6847625 7322065 10099400 10956200 11715304 12624250 13695250 14644130 20198800 21912400 23430608 25248500 27390500 29288260 36610325 50497000 54781000 58576520 73220650 95388833 100994000 109562000 117153040 146441300 183051625 190777666 292882600 366103250 381555332 476944165 585765200 732206500 763110664 953888330 1464413000 1526221328 1907776660 2384720825 2766276157 2928826000 3815553320 4769441650 5532552314 7631106640 9538883300 11065104628 11923604125 13831380785 19077766600 22130209256 23847208250 27662761570 38155533200 44260418512 47694416500 55325523140 69156903925 95388833000 110651046280 138313807850 190777666000 221302092560 276627615700 345784519625 553255231400 691569039250 1106510462800 1383138078500 2766276157000 5532552314000