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55597985960500 = 22534723081102503
BaseRepresentation
bin11001010010000111010100…
…01101000001001000110100
321021212010010020100122020201
430221003222031001020310
524241404133401214000
6314125210120210244
714465551631114104
oct1451035215011064
9237763106318221
1055597985960500
1116795a78702495
12629b319009984
132503b380c2c99
14da2d57963204
156663704b696a
hex3290ea341234

55597985960500 has 96 divisors (see below), whose sum is σ = 124016115944448. Its totient is φ = 21764864672000.

The previous prime is 55597985960479. The next prime is 55597985960533. The reversal of 55597985960500 is 506958979555.

It is a super-2 number, since 2×555979859605002 (a number of 28 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 31 ways as a sum of consecutive naturals, for example, 542352249 + ... + 542454751.

It is an arithmetic number, because the mean of its divisors is an integer number (1291834541088).

Almost surely, 255597985960500 is an apocalyptic number.

55597985960500 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 55597985960500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62008057972224).

55597985960500 is an abundant number, since it is smaller than the sum of its proper divisors (68418129983948).

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

55597985960500 is a wasteful number, since it uses less digits than its factorization.

55597985960500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125650 (or 125638 counting only the distinct ones).

The product of its (nonzero) digits is 765450000, while the sum is 73.

The spelling of 55597985960500 in words is "fifty-five trillion, five hundred ninety-seven billion, nine hundred eighty-five million, nine hundred sixty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 125 188 235 250 470 500 940 1175 2350 4700 5875 11750 23081 23500 46162 92324 102503 115405 205006 230810 410012 461620 512515 577025 1025030 1084807 1154050 2050060 2169614 2308100 2562575 2885125 4339228 4817641 5125150 5424035 5770250 9635282 10250300 10848070 11540500 12812875 19270564 21696140 24088205 25625750 27120175 48176410 51251500 54240350 96352820 108480700 120441025 135600875 240882050 271201750 481764100 542403500 602205125 1204410250 2365871743 2408820500 4731743486 9463486972 11829358715 23658717430 47317434860 59146793575 111195971921 118293587150 222391943842 236587174300 295733967875 444783887684 555979859605 591467935750 1111959719210 1182935871500 2223919438420 2779899298025 5559798596050 11119597192100 13899496490125 27798992980250 55597985960500