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33054542444 = 22711373498311
BaseRepresentation
bin11110110010001101…
…000100101001101100
310011022121221201212202
4132302031010221230
51020143430324234
623103545321032
72250056655260
oct366215045154
9104277851782
1033054542444
1113022477a80
1264a5a96178
13316a165471
141857dac0a0
15cd6d9377e
hex7b2344a6c

33054542444 has 96 divisors (see below), whose sum is σ = 74289331200. Its totient is φ = 12492921600.

The previous prime is 33054542431. The next prime is 33054542449. The reversal of 33054542444 is 44424545033.

It is a junction number, because it is equal to n+sod(n) for n = 33054542398 and 33054542407.

It is not an unprimeable number, because it can be changed into a prime (33054542449) 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 31 ways as a sum of consecutive naturals, for example, 3973049 + ... + 3981359.

It is an arithmetic number, because the mean of its divisors is an integer number (773847200).

Almost surely, 233054542444 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 33054542444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37144665600).

33054542444 is an abundant number, since it is smaller than the sum of its proper divisors (41234788756).

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

33054542444 is a wasteful number, since it uses less digits than its factorization.

33054542444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8719 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 38.

The spelling of 33054542444 in words is "thirty-three billion, fifty-four million, five hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 148 154 259 308 349 407 518 698 814 1036 1396 1628 2443 2849 3839 4886 5698 7678 8311 9772 11396 12913 15356 16622 25826 26873 33244 51652 53746 58177 90391 91421 107492 116354 142043 180782 182842 232708 284086 307507 361564 365684 568172 615014 639947 994301 1230028 1279894 1988602 2152549 2559788 2900539 3382577 3977204 4305098 5801078 6765154 8610196 11602156 13530308 20303773 23678039 31905929 40607546 47356078 63811858 81215092 94712156 107319943 127623716 214639886 223341503 429279772 446683006 751239601 893366012 1180519373 1502479202 2361038746 3004958404 4722077492 8263635611 16527271222 33054542444