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553023334640 = 24572948716991
BaseRepresentation
bin10000000110000101100…
…00100110100011110000
31221212110010222012022102
420003002300212203300
533030042433202030
61102015545155532
754645301532660
oct10030260464360
91855403865272
10553023334640
111a3599289617
128b21a48bba8
13401c43821ba
141caa32b21a0
15e5bab2ac45
hex80c2c268f0

553023334640 has 160 divisors (see below), whose sum is σ = 1520662671360. Its totient is φ = 183006028800.

The previous prime is 553023334609. The next prime is 553023334649. The reversal of 553023334640 is 46433320355.

It is a junction number, because it is equal to n+sod(n) for n = 553023334594 and 553023334603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553023334649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79101545 + ... + 79108535.

It is an arithmetic number, because the mean of its divisors is an integer number (9504141696).

Almost surely, 2553023334640 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 553023334640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760331335680).

553023334640 is an abundant number, since it is smaller than the sum of its proper divisors (967639336720).

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

553023334640 is a wasteful number, since it uses less digits than its factorization.

553023334640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11911 (or 11905 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 38.

Adding to 553023334640 its reverse (46433320355), we get a palindrome (599456654995).

The spelling of 553023334640 in words is "five hundred fifty-three billion, twenty-three million, three hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 4060 4871 6991 8120 9742 13982 16240 19484 24355 27964 34097 34955 38968 48710 48937 55928 68194 69910 77936 97420 97874 111856 136388 139820 141259 170485 194840 195748 202739 244685 272776 279640 282518 340970 389680 391496 405478 489370 545552 559280 565036 681940 706295 782992 810956 978740 988813 1013695 1130072 1363880 1412590 1419173 1621912 1957480 1977626 2027390 2260144 2727760 2825180 2838346 3243824 3914960 3955252 4054780 4944065 5650360 5676692 7095865 7910504 8109560 9888130 11300720 11353384 14191730 15821008 16219120 19776260 22706768 28383460 34053161 39552520 56766920 68106322 79105040 113533840 136212644 170265805 238372127 272425288 340531610 476744254 544850576 681063220 953488508 987541669 1191860635 1362126440 1906977016 1975083338 2383721270 2724252880 3813954032 3950166676 4767442540 4937708345 6912791683 7900333352 9534885080 9875416690 13825583366 15800666704 19069770160 19750833380 27651166732 34563958415 39501666760 55302333464 69127916830 79003333520 110604666928 138255833660 276511667320 553023334640