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53587040397312 = 211311297725287
BaseRepresentation
bin11000010111100101101001…
…00000011110100000000000
321000201212111222111120022110
430023302310200132200000
524010432224320203222
6305545314013535320
714200351546630062
oct1413626440364000
9230655458446273
1053587040397312
1116090155325014
12601563b4a4540
1323b930bcb4006
14d338ab533732
1562ddc65ee30c
hex30bcb481e800

53587040397312 has 96 divisors (see below), whose sum is σ = 142990445707200. Its totient is φ = 17846523101184.

The previous prime is 53587040397263. The next prime is 53587040397391. The reversal of 53587040397312 is 21379304078535.

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

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 7 ways as a sum of consecutive naturals, for example, 3073933 + ... + 10799219.

It is an arithmetic number, because the mean of its divisors is an integer number (1489483809450).

Almost surely, 253587040397312 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 53587040397312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71495222853600).

53587040397312 is an abundant number, since it is smaller than the sum of its proper divisors (89403405309888).

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

53587040397312 is a wasteful number, since it uses less digits than its factorization.

53587040397312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7726441 (or 7726421 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 57.

The spelling of 53587040397312 in words is "fifty-three trillion, five hundred eighty-seven billion, forty million, three hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1129 1536 2048 2258 3072 3387 4516 6144 6774 9032 13548 18064 27096 36128 54192 72256 108384 144512 216768 289024 433536 578048 867072 1156096 1734144 2312192 3468288 6936576 7725287 15450574 23175861 30901148 46351722 61802296 92703444 123604592 185406888 247209184 370813776 494418368 741627552 988836736 1483255104 1977673472 2966510208 3955346944 5933020416 7910693888 8721849023 11866040832 15821387776 17443698046 23732081664 26165547069 34887396092 47464163328 52331094138 69774792184 104662188276 139549584368 209324376552 279099168736 418648753104 558198337472 837297506208 1116396674944 1674595012416 2232793349888 3349190024832 4465586699776 6698380049664 8931173399552 13396760099328 17862346799104 26793520198656 53587040397312