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53565536320 = 2651576611613
BaseRepresentation
bin110001111000110000…
…010011100001000000
312010021002000011221121
4301320300103201000
51334200234130240
640335131202024
73604255355242
oct617060234100
9163232004847
1053565536320
112079839228a
12a46aba6314
13508867422a
1428420ac092
1515d78ea04a
hexc78c13840

53565536320 has 112 divisors (see below), whose sum is σ = 128639273328. Its totient is φ = 21244354560.

The previous prime is 53565536293. The next prime is 53565536333. The reversal of 53565536320 is 2363556535.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 97298496 + 53468237824 = 9864^2 + 231232^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33207834 + ... + 33209446.

Almost surely, 253565536320 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 53565536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64319636664).

53565536320 is an abundant number, since it is smaller than the sum of its proper divisors (75073737008).

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

53565536320 is a wasteful number, since it uses less digits than its factorization.

53565536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 43.

The spelling of 53565536320 in words is "fifty-three billion, five hundred sixty-five million, five hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 157 160 314 320 628 661 785 1256 1322 1570 1613 2512 2644 3140 3226 3305 5024 5288 6280 6452 6610 8065 10048 10576 12560 12904 13220 16130 21152 25120 25808 26440 32260 42304 50240 51616 52880 64520 103232 103777 105760 129040 207554 211520 253241 258080 415108 506482 516160 518885 830216 1012964 1037770 1066193 1266205 1660432 2025928 2075540 2132386 2532410 3320864 4051856 4151080 4264772 5064820 5330965 6641728 8103712 8302160 8529544 10129640 10661930 16207424 16604320 17059088 20259280 21323860 33208640 34118176 40518560 42647720 68236352 81037120 85295440 167392301 170590880 334784602 341181760 669569204 836961505 1339138408 1673923010 2678276816 3347846020 5356553632 6695692040 10713107264 13391384080 26782768160 53565536320