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33304790016 = 2103219012
BaseRepresentation
bin11111000001000111…
…101100010000000000
310011222001211122000100
4133001013230100000
51021202011240031
623144445122400
72256216021111
oct370107542000
9104861748010
1033304790016
111314075a753
126555859400
1331a9c63754
14187d310208
15cedd25de6
hex7c11ec400

33304790016 has 99 divisors (see below), whose sum is σ = 96217472533. Its totient is φ = 11095756800.

The previous prime is 33304790003. The next prime is 33304790033. The reversal of 33304790016 is 61009740333.

The square root of 33304790016 is 182496.

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

It can be written as a sum of positive squares in only one way, i.e., 2777711616 + 30527078400 = 52704^2 + 174720^2 .

It is a super-2 number, since 2×333047900162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

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, 17518666 + ... + 17520566.

Almost surely, 233304790016 is an apocalyptic number.

33304790016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

33304790016 is the 182496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33304790016

33304790016 is an abundant number, since it is smaller than the sum of its proper divisors (62912682517).

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

33304790016 is an frugal number, since it uses more digits than its factorization.

33304790016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

Multiplying 33304790016 by its sum of digits (36), we get a square (1198972440576 = 10949762).

33304790016 divided by its sum of digits (36) gives a square (925133056 = 304162).

The spelling of 33304790016 in words is "thirty-three billion, three hundred four million, seven hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1901 2304 3072 3802 4608 5703 7604 9216 11406 15208 17109 22812 30416 34218 45624 60832 68436 91248 121664 136872 182496 243328 273744 364992 486656 547488 729984 973312 1094976 1459968 1946624 2189952 2919936 3613801 4379904 5839872 7227602 8759808 10841403 14455204 17519616 21682806 28910408 32524209 43365612 57820816 65048418 86731224 115641632 130096836 173462448 231283264 260193672 346924896 462566528 520387344 693849792 925133056 1040774688 1387699584 1850266112 2081549376 2775399168 3700532224 4163098752 5550798336 8326197504 11101596672 16652395008 33304790016