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537002068285440 = 21132537157482307
BaseRepresentation
bin111101000011001101000100…
…1100001100001100000000000
32121102100220012110002011112100
41322012122021201201200000
51030341220213440113230
65142035202225030400
7221053055600062122
oct17206321141414000
92542326173064470
10537002068285440
11146118330a2867a
125028a722185400
131a084101a93ba4
1496870785d1212
1542139c9776660
hex1e86689861800

537002068285440 has 288 divisors, whose sum is σ = 1911454111934640. Its totient is φ = 139330265481216.

The previous prime is 537002068285421. The next prime is 537002068285513. The reversal of 537002068285440 is 44582860200735.

537002068285440 is a `hidden beast` number, since 5 + 3 + 70 + 0 + 2 + 0 + 6 + 8 + 28 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5370020682854402 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 75331234 + ... + 82151073.

Almost surely, 2537002068285440 is an apocalyptic number.

It is an amenable number.

537002068285440 is an abundant number, since it is smaller than the sum of its proper divisors (1374452043649200).

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

537002068285440 is a wasteful number, since it uses less digits than its factorization.

537002068285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157482377 (or 157482354 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 537002068285440 in words is "five hundred thirty-seven trillion, two billion, sixty-eight million, two hundred eighty-five thousand, four hundred forty".