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33768721404 = 22321189958141
BaseRepresentation
bin11111011100110001…
…011100101111111100
310020011101210210020100
4133130301130233330
51023124243041104
623302500521100
72303551252545
oct373461345774
9106141723210
1033768721404
1113359621220
1266650b0190
1332520ca572
1418c4b974cc
15d29917139
hex7dcc5cbfc

33768721404 has 72 divisors (see below), whose sum is σ = 94166195760. Its totient is φ = 10117958400.

The previous prime is 33768721403. The next prime is 33768721447. The reversal of 33768721404 is 40412786733.

It is a super-2 number, since 2×337687214042 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33768721404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33768721403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443827 + ... + 514314.

It is an arithmetic number, because the mean of its divisors is an integer number (1307863830).

Almost surely, 233768721404 is an apocalyptic number.

It is an amenable number.

33768721404 is an abundant number, since it is smaller than the sum of its proper divisors (60397474356).

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

33768721404 is a wasteful number, since it uses less digits than its factorization.

33768721404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958251 (or 958246 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 33768721404 in words is "thirty-three billion, seven hundred sixty-eight million, seven hundred twenty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 89 99 132 178 198 267 356 396 534 801 979 1068 1602 1958 2937 3204 3916 5874 8811 11748 17622 35244 958141 1916282 2874423 3832564 5748846 8623269 10539551 11497692 17246538 21079102 31618653 34493076 42158204 63237306 85274549 94855959 126474612 170549098 189711918 255823647 341098196 379423836 511647294 767470941 938020039 1023294588 1534941882 1876040078 2814060117 3069883764 3752080156 5628120234 8442180351 11256240468 16884360702 33768721404