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33980419950 = 2352832729351
BaseRepresentation
bin11111101001011001…
…000000111101101110
310020201011011012001020
4133221121000331232
51024042441414300
623335502155010
72312031542511
oct375131007556
9106634135036
1033980419950
11134580744a4
126703b82a66
133286c1c589
141904d42d78
15d3d2d28a0
hex7e9640f6e

33980419950 has 48 divisors (see below), whose sum is σ = 85286791296. Its totient is φ = 8952268000.

The previous prime is 33980419933. The next prime is 33980419969. The reversal of 33980419950 is 5991408933.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 33980419893 and 33980419902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1352226 + ... + 1377125.

It is an arithmetic number, because the mean of its divisors is an integer number (1776808152).

Almost surely, 233980419950 is an apocalyptic number.

33980419950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33980419950 is an abundant number, since it is smaller than the sum of its proper divisors (51306371346).

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

33980419950 is a wasteful number, since it uses less digits than its factorization.

33980419950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729449 (or 2729444 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 33980419950 in words is "thirty-three billion, nine hundred eighty million, four hundred nineteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 83 150 166 249 415 498 830 1245 2075 2490 4150 6225 12450 2729351 5458702 8188053 13646755 16376106 27293510 40940265 68233775 81880530 136467550 204701325 226536133 409402650 453072266 679608399 1132680665 1359216798 2265361330 3398041995 5663403325 6796083990 11326806650 16990209975 33980419950