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33980419902 = 23111382148239
BaseRepresentation
bin11111101001011001…
…000000111100111110
310020201011011011222110
4133221121000330332
51024042441414102
623335502154450
72312031542412
oct375131007476
9106634134873
1033980419902
1113458074460
126703b82a26
133286c1c550
141904d42d42
15d3d2d286c
hex7e9640f3e

33980419902 has 64 divisors (see below), whose sum is σ = 79941012480. Its totient is φ = 9493238400.

The previous prime is 33980419897. The next prime is 33980419933. The reversal of 33980419902 is 20991408933.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680299 + ... + 728537.

It is an arithmetic number, because the mean of its divisors is an integer number (1249078320).

Almost surely, 233980419902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33980419902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39970506240).

33980419902 is an abundant number, since it is smaller than the sum of its proper divisors (45960592578).

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

33980419902 is a wasteful number, since it uses less digits than its factorization.

33980419902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49089.

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 33980419902 in words is "thirty-three billion, nine hundred eighty million, four hundred nineteen thousand, nine hundred two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 821 858 1642 2463 4926 9031 10673 18062 21346 27093 32019 48239 54186 64038 96478 117403 144717 234806 289434 352209 530629 627107 704418 1061258 1254214 1591887 1881321 3183774 3762642 6898177 13796354 20694531 39604219 41389062 79208438 118812657 237625314 435646409 514854847 871292818 1029709694 1306939227 1544564541 2613878454 3089129082 5663403317 11326806634 16990209951 33980419902