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56224329350 = 2527271613967
BaseRepresentation
bin110100010111001110…
…110010111010000110
312101010100222212022112
4310113032302322012
51410121412014400
641455030301022
74030201625360
oct642716627206
9171110885275
1056224329350
11219321938a2
12aa914b7772
1353c0460947
142a15255d30
1516e1040835
hexd173b2e86

56224329350 has 96 divisors (see below), whose sum is σ = 120277825536. Its totient is φ = 19154620800.

The previous prime is 56224329289. The next prime is 56224329407. The reversal of 56224329350 is 5392342265.

It is a super-2 number, since 2×562243293502 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56224329298 and 56224329307.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 58142567 + ... + 58143533.

It is an arithmetic number, because the mean of its divisors is an integer number (1252894016).

Almost surely, 256224329350 is an apocalyptic number.

56224329350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56224329350 is an abundant number, since it is smaller than the sum of its proper divisors (64053496186).

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

56224329350 is a wasteful number, since it uses less digits than its factorization.

56224329350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 41.

The spelling of 56224329350 in words is "fifty-six billion, two hundred twenty-four million, three hundred twenty-nine thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 175 271 350 542 613 967 1226 1355 1897 1934 2710 3065 3794 4291 4835 6130 6769 6775 8582 9485 9670 13538 13550 15325 18970 21455 24175 30650 33845 42910 47425 48350 67690 94850 107275 166123 169225 214550 262057 332246 338450 524114 592771 830615 1162861 1185542 1310285 1661230 1834399 2325722 2620570 2963855 3668798 4149397 4153075 5814305 5927710 6551425 8298794 8306150 9171995 11628610 13102850 14819275 18343990 20746985 29071525 29638550 41493970 45859975 58143050 91719950 103734925 160640941 207469850 321281882 803204705 1124486587 1606409410 2248973174 4016023525 5622432935 8032047050 11244865870 28112164675 56224329350