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352912036096 = 2810723472
BaseRepresentation
bin1010010001010110011…
…00100101000100000000
31020201221001020221220201
411020223030211010000
521240230440123341
6430043041414544
734332326545264
oct5105314450400
91221831227821
10352912036096
1112673a70a154
125849163a454
1327382c948c9
141311c4dc0a4
1592a7a1e331
hex522b325100

352912036096 has 81 divisors (see below), whose sum is σ = 713145799639. Its totient is φ = 174303130112.

The previous prime is 352912036067. The next prime is 352912036097. The reversal of 352912036096 is 690630219253.

The square root of 352912036096 is 594064.

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 (352912036097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1017037395 + ... + 1017037741.

Almost surely, 2352912036096 is an apocalyptic number.

352912036096 is the 594064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352912036096

352912036096 is an abundant number, since it is smaller than the sum of its proper divisors (360233763543).

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

352912036096 is an frugal number, since it uses more digits than its factorization.

352912036096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 46.

The spelling of 352912036096 in words is "three hundred fifty-two billion, nine hundred twelve million, thirty-six thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 347 428 694 856 1388 1712 2776 3424 5552 6848 11104 11449 13696 22208 22898 27392 37129 44416 45796 74258 88832 91592 120409 148516 183184 240818 297032 366368 481636 594064 732736 963272 1188128 1465472 1926544 2376256 2930944 3853088 3972803 4752512 7706176 7945606 9505024 12883763 15412352 15891212 25767526 30824704 31782424 51535052 63564848 103070104 127129696 206140208 254259392 412280416 508518784 824560832 1017037568 1378562641 1649121664 2757125282 3298243328 5514250564 11028501128 22057002256 44114004512 88228009024 176456018048 352912036096