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53501332520 = 2353760160149
BaseRepresentation
bin110001110100111011…
…011000110000101000
312010002121012021220002
4301310323120300220
51334032320120040
640324515122132
73602545552166
oct616473306050
9163077167802
1053501332520
112076511aa99
12a4515a3348
135078284a0c
142837758236
1515d1e66a15
hexc74ed8c28

53501332520 has 64 divisors (see below), whose sum is σ = 123839226000. Its totient is φ = 20787148800.

The previous prime is 53501332477. The next prime is 53501332531. The reversal of 53501332520 is 2523310535.

It can be written as a sum of positive squares in 8 ways, for example, as 38849198404 + 14652134116 = 197102^2 + 121046^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859406 + ... + 919554.

Almost surely, 253501332520 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 53501332520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61919613000).

53501332520 is an abundant number, since it is smaller than the sum of its proper divisors (70337893480).

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

53501332520 is a wasteful number, since it uses less digits than its factorization.

53501332520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60798 (or 60794 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 29.

The spelling of 53501332520 in words is "fifty-three billion, five hundred one million, three hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 601 740 1202 1480 2404 3005 4808 6010 12020 22237 24040 44474 60149 88948 111185 120298 177896 222370 240596 300745 444740 481192 601490 889480 1202980 2225513 2405960 4451026 8902052 11127565 17804104 22255130 36149549 44510260 72299098 89020520 144598196 180747745 289196392 361495490 722990980 1337533313 1445981960 2675066626 5350133252 6687666565 10700266504 13375333130 26750666260 53501332520