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11701833242272 = 2510115723061253
BaseRepresentation
bin1010101001001000101110…
…0111010001011010100000
31112102200110212201102200021
42222102023213101122200
53013210323302223042
640515425321403224
72315300223255445
oct252221347213240
945380425642607
1011701833242272
1138017a0887668
12138ba88339514
1366b62a61ca24
142c652c1279cc
151545d1684867
hexaa48b9d16a0

11701833242272 has 48 divisors (see below), whose sum is σ = 23414275676232. Its totient is φ = 5756088499200.

The previous prime is 11701833242243. The next prime is 11701833242279. The reversal of 11701833242272 is 27224233810711.

It can be written as a sum of positive squares in 4 ways, for example, as 11561115226896 + 140718015376 = 3400164^2 + 375124^2 .

It is not an unprimeable number, because it can be changed into a prime (11701833242279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11023203 + ... + 12038050.

Almost surely, 211701833242272 is an apocalyptic number.

It is an amenable number.

11701833242272 is an abundant number, since it is smaller than the sum of its proper divisors (11712442433960).

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

11701833242272 is a wasteful number, since it uses less digits than its factorization.

11701833242272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23061521 (or 23061513 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 11701833242272 in words is "eleven trillion, seven hundred one billion, eight hundred thirty-three million, two hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 101 157 202 314 404 628 808 1256 1616 2512 3232 5024 15857 31714 63428 126856 253712 507424 23061253 46122506 92245012 184490024 368980048 737960096 2329186553 3620616721 4658373106 7241233442 9316746212 14482466884 18633492424 28964933768 37266984848 57929867536 74533969696 115859735072 365682288821 731364577642 1462729155284 2925458310568 5850916621136 11701833242272