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33089976948 = 223744192741
BaseRepresentation
bin11110110100010100…
…001111101001110100
310011102002121222212210
4132310110033221310
51020232013230243
623111253013420
72251000110000
oct366424175164
9104362558783
1033089976948
111304047a496
1264b5924270
1331745c0c22
14185c993700
15cda042933
hex7b450fa74

33089976948 has 120 divisors (see below), whose sum is σ = 90320821920. Its totient is φ = 9428274240.

The previous prime is 33089976929. The next prime is 33089976949. The reversal of 33089976948 is 84967998033.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33089976949) 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 39 ways as a sum of consecutive naturals, for example, 12070858 + ... + 12073598.

It is an arithmetic number, because the mean of its divisors is an integer number (752673516).

Almost surely, 233089976948 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 33089976948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45160410960).

33089976948 is an abundant number, since it is smaller than the sum of its proper divisors (57230844972).

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

33089976948 is a wasteful number, since it uses less digits than its factorization.

33089976948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 66.

The spelling of 33089976948 in words is "thirty-three billion, eighty-nine million, nine hundred seventy-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 419 588 686 838 1029 1257 1372 1676 2058 2401 2514 2741 2933 4116 4802 5028 5482 5866 7203 8223 8799 9604 10964 11732 14406 16446 17598 19187 20531 28812 32892 35196 38374 41062 57561 61593 76748 82124 115122 123186 134309 143717 230244 246372 268618 287434 402927 431151 537236 574868 805854 862302 940163 1006019 1148479 1611708 1724604 1880326 2012038 2296958 2820489 3018057 3445437 3760652 4024076 4593916 5640978 6036114 6581141 6890874 8039353 11281956 12072228 13162282 13781748 16078706 19743423 24118059 26324564 32157412 39486846 48236118 56275471 78973692 96472236 112550942 168826413 225101884 337652826 393928297 675305652 787856594 1181784891 1575713188 2363569782 2757498079 4727139564 5514996158 8272494237 11029992316 16544988474 33089976948