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53112259584 = 210329196271
BaseRepresentation
bin110001011101101111…
…001100010000000000
312002002111002100011100
4301131233030100000
51332233214301314
640222140014400
73560112520566
oct613557142000
9162074070140
1053112259584
112058553880a
12a363231400
13501579ac47
1427dbbd9a36
1515acc10c09
hexc5dbcc400

53112259584 has 132 divisors (see below), whose sum is σ = 153551856640. Its totient is φ = 17682001920.

The previous prime is 53112259559. The next prime is 53112259609. The reversal of 53112259584 is 48595221135.

53112259584 is a `hidden beast` number, since 5 + 3 + 1 + 12 + 2 + 59 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (53112259559) and next prime (53112259609).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8466369 + ... + 8472639.

Almost surely, 253112259584 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 53112259584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76775928320).

53112259584 is an abundant number, since it is smaller than the sum of its proper divisors (100439597056).

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

53112259584 is a wasteful number, since it uses less digits than its factorization.

53112259584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7216 (or 7195 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 53112259584 in words is "fifty-three billion, one hundred twelve million, two hundred fifty-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 919 1024 1152 1536 1838 2304 2757 3072 3676 4608 5514 6271 7352 8271 9216 11028 12542 14704 16542 18813 22056 25084 29408 33084 37626 44112 50168 56439 58816 66168 75252 88224 100336 112878 117632 132336 150504 176448 200672 225756 235264 264672 301008 352896 401344 451512 470528 529344 602016 705792 802688 903024 941056 1058688 1204032 1411584 1605376 1806048 2117376 2408064 2823168 3210752 3612096 4234752 4816128 5763049 6421504 7224192 8469504 9632256 11526098 14448384 17289147 19264512 23052196 28896768 34578294 46104392 51867441 57793536 69156588 92208784 103734882 138313176 184417568 207469764 276626352 368835136 414939528 553252704 737670272 829879056 1106505408 1475340544 1659758112 2213010816 2950681088 3319516224 4426021632 5901362176 6639032448 8852043264 13278064896 17704086528 26556129792 53112259584