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53628713568 = 25321913771537
BaseRepresentation
bin110001111100100001…
…010011101001100000
312010102110212220211200
4301330201103221200
51334312422313233
640345305241200
73605653354413
oct617441235140
9163373786750
1053628713568
1120820013291
12a488193200
135098794411
14284a635b7a
1515dd229313
hexc7c853a60

53628713568 has 144 divisors (see below), whose sum is σ = 161707356720. Its totient is φ = 16811532288.

The previous prime is 53628713539. The next prime is 53628713603. The reversal of 53628713568 is 86531782635.

53628713568 is a `hidden beast` number, since 5 + 3 + 6 + 2 + 8 + 71 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713896 + ... + 785432.

It is an arithmetic number, because the mean of its divisors is an integer number (1122967755).

Almost surely, 253628713568 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 53628713568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80853678360).

53628713568 is an abundant number, since it is smaller than the sum of its proper divisors (108078643152).

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

53628713568 is a wasteful number, since it uses less digits than its factorization.

53628713568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71709 (or 71698 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 53628713568 in words is "fifty-three billion, six hundred twenty-eight million, seven hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 137 144 152 171 228 274 288 304 342 411 456 548 608 684 822 912 1096 1233 1368 1644 1824 2192 2466 2603 2736 3288 4384 4932 5206 5472 6576 7809 9864 10412 13152 15618 19728 20824 23427 31236 39456 41648 46854 62472 71537 83296 93708 124944 143074 187416 214611 249888 286148 374832 429222 572296 643833 749664 858444 1144592 1287666 1359203 1716888 2289184 2575332 2718406 3433776 4077609 5150664 5436812 6867552 8155218 9800569 10301328 10873624 12232827 16310436 19601138 20602656 21747248 24465654 29401707 32620872 39202276 43494496 48931308 58803414 65241744 78404552 88205121 97862616 117606828 130483488 156809104 176410242 186210811 195725232 235213656 313618208 352820484 372421622 391450464 470427312 558632433 705640968 744843244 940854624 1117264866 1411281936 1489686488 1675897299 2234529732 2822563872 2979372976 3351794598 4469059464 5958745952 6703589196 8938118928 13407178392 17876237856 26814356784 53628713568