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65053538304 = 211329336137
BaseRepresentation
bin111100100101011111…
…100011100000000000
320012220200201011001120
4330211133203200000
52031212201211204
645515111032240
74462041644346
oct744537434000
9205820634046
1065053538304
11256530321a7
121073636b680
136199712841
143211acd996
151a5b2326d9
hexf257e3800

65053538304 has 96 divisors (see below), whose sum is σ = 174030489360. Its totient is φ = 21609906176.

The previous prime is 65053538293. The next prime is 65053538309. The reversal of 65053538304 is 40383535056.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65053538309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1782124 + ... + 1818260.

Almost surely, 265053538304 is an apocalyptic number.

65053538304 is a gapful number since it is divisible by the number (64) 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 65053538304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87015244680).

65053538304 is an abundant number, since it is smaller than the sum of its proper divisors (108976951056).

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

65053538304 is a wasteful number, since it uses less digits than its factorization.

65053538304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36455 (or 36435 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 65053538304 in words is "sixty-five billion, fifty-three million, five hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 293 384 512 586 768 879 1024 1172 1536 1758 2048 2344 3072 3516 4688 6144 7032 9376 14064 18752 28128 36137 37504 56256 72274 75008 108411 112512 144548 150016 216822 225024 289096 300032 433644 450048 578192 600064 867288 900096 1156384 1734576 1800192 2312768 3469152 4625536 6938304 9251072 10588141 13876608 18502144 21176282 27753216 31764423 37004288 42352564 55506432 63528846 74008576 84705128 111012864 127057692 169410256 222025728 254115384 338820512 508230768 677641024 1016461536 1355282048 2032923072 2710564096 4065846144 5421128192 8131692288 10842256384 16263384576 21684512768 32526769152 65053538304