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33989939456 = 2811109711003
BaseRepresentation
bin11111101001111101…
…010101000100000000
310020201211001211100112
4133221331111010000
51024102411030311
623340442210452
72312205501254
oct375175250400
9106654054315
1033989939456
1113462486660
1267071b3a28
133288ba3515
141906300264
15d3e06328b
hex7e9f55100

33989939456 has 72 divisors (see below), whose sum is σ = 74089227744. Its totient is φ = 15434485760.

The previous prime is 33989939453. The next prime is 33989939561. The reversal of 33989939456 is 65493998933.

It is not an unprimeable number, because it can be changed into a prime (33989939453) 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 7 ways as a sum of consecutive naturals, for example, 3083651 + ... + 3094653.

It is an arithmetic number, because the mean of its divisors is an integer number (1029017052).

Almost surely, 233989939456 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 33989939456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37044613872).

33989939456 is an abundant number, since it is smaller than the sum of its proper divisors (40099288288).

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

33989939456 is a wasteful number, since it uses less digits than its factorization.

33989939456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12127 (or 12113 counting only the distinct ones).

The product of its digits is 170061120, while the sum is 68.

The spelling of 33989939456 in words is "thirty-three billion, nine hundred eighty-nine million, nine hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1097 1408 2194 2816 4388 8776 11003 12067 17552 22006 24134 35104 44012 48268 70208 88024 96536 121033 140416 176048 193072 242066 280832 352096 386144 484132 704192 772288 968264 1408384 1544576 1936528 2816768 3089152 3873056 7746112 12070291 15492224 24140582 30984448 48281164 96562328 132773201 193124656 265546402 386249312 531092804 772498624 1062185608 1544997248 2124371216 3089994496 4248742432 8497484864 16994969728 33989939456