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537382828096 = 2643221312
BaseRepresentation
bin1111101000111101000…
…00110011100001000000
31220101002010121010211021
413310132200303201000
532301030000444341
61050511550555224
753552563446352
oct7643640634100
91811063533737
10537382828096
111979a2662554
1288194508b14
133b8a0c272ba
141c01bd9d0d2
15dea29969d1
hex7d1e833840

537382828096 has 63 divisors (see below), whose sum is σ = 1092257613423. Its totient is φ = 262319621760.

The previous prime is 537382828067. The next prime is 537382828097. The reversal of 537382828096 is 690828283735.

It is a happy number.

The square root of 537382828096 is 733064.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (537382828097) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 252172951 + ... + 252175081.

Almost surely, 2537382828096 is an apocalyptic number.

537382828096 is the 733064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537382828096

537382828096 is an abundant number, since it is smaller than the sum of its proper divisors (554874785327).

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

537382828096 is an frugal number, since it uses more digits than its factorization.

537382828096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 537382828096 in words is "five hundred thirty-seven billion, three hundred eighty-two million, eight hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1376 1849 2131 2752 3698 4262 7396 8524 14792 17048 29584 34096 59168 68192 91633 118336 136384 183266 366532 733064 1466128 2932256 3940219 4541161 5864512 7880438 9082322 15760876 18164644 31521752 36329288 63043504 72658576 126087008 145317152 195269923 252174016 290634304 390539846 781079692 1562159384 3124318768 6248637536 8396606689 12497275072 16793213378 33586426756 67172853512 134345707024 268691414048 537382828096