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56418713500 = 22533110335339
BaseRepresentation
bin110100100010110100…
…010011111110011100
312101121220202121020111
4310202310103332130
51411021142313000
641530212455404
74035052103122
oct644264237634
9171556677214
1056418713500
1121a21990556
12ab2661a564
1354217cca56
142a32db5912
15170313acba
hexd22d13f9c

56418713500 has 96 divisors (see below), whose sum is σ = 128431779840. Its totient is φ = 21626856000.

The previous prime is 56418713471. The next prime is 56418713509. The reversal of 56418713500 is 531781465.

It is a happy number.

It is a super-3 number, since 3×564187135003 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56418713509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1578831 + ... + 1614169.

It is an arithmetic number, because the mean of its divisors is an integer number (1337831040).

Almost surely, 256418713500 is an apocalyptic number.

56418713500 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 56418713500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64215889920).

56418713500 is an abundant number, since it is smaller than the sum of its proper divisors (72013066340).

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

56418713500 is a wasteful number, since it uses less digits than its factorization.

56418713500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35492 (or 35480 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 56418713500 in words is "fifty-six billion, four hundred eighteen million, seven hundred thirteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 103 124 125 155 206 250 310 412 500 515 620 775 1030 1550 2060 2575 3100 3193 3875 5150 6386 7750 10300 12772 12875 15500 15965 25750 31930 35339 51500 63860 70678 79825 141356 159650 176695 319300 353390 399125 706780 798250 883475 1095509 1596500 1766950 2191018 3533900 3639917 4382036 4417375 5477545 7279834 8834750 10955090 14559668 17669500 18199585 21910180 27387725 36399170 54775450 72798340 90997925 109550900 112837427 136938625 181995850 225674854 273877250 363991700 451349708 454989625 547754500 564187135 909979250 1128374270 1819958500 2256748540 2820935675 5641871350 11283742700 14104678375 28209356750 56418713500