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3803829904350 = 233527402521683
BaseRepresentation
bin110111010110100101111…
…011100010001111011110
3111110122100110001022112000
4313112211323202033132
5444310220423414400
612031242204023130
7541550310465030
oct67264573421736
914418313038460
103803829904350
1112372168a7283
1251525ab31aa6
132179130b4268
14d216bb75c50
1568e2ddac600
hex375a5ee23de

3803829904350 has 96 divisors (see below), whose sum is σ = 11979045315840. Its totient is φ = 869446833120.

The previous prime is 3803829904339. The next prime is 3803829904351. The reversal of 3803829904350 is 534099283083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3803829904351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201251392 + ... + 201270291.

It is an arithmetic number, because the mean of its divisors is an integer number (124781722040).

Almost surely, 23803829904350 is an apocalyptic number.

3803829904350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3803829904350 is an abundant number, since it is smaller than the sum of its proper divisors (8175215411490).

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

3803829904350 is a wasteful number, since it uses less digits than its factorization.

3803829904350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402521711 (or 402521700 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3803829904350 in words is "three trillion, eight hundred three billion, eight hundred twenty-nine million, nine hundred four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 126 135 150 175 189 210 225 270 315 350 378 450 525 630 675 945 1050 1350 1575 1890 3150 4725 9450 402521683 805043366 1207565049 2012608415 2415130098 2817651781 3622695147 4025216830 5635303562 6037825245 7245390294 8452955343 10063042075 10868085441 12075650490 14088258905 16905910686 18113475735 20126084150 21736170882 25358866029 28176517810 30189126225 36226951470 42264776715 50717732058 54340427205 60378252450 70441294525 76076598087 84529553430 90567378675 108680854410 126794330145 140882589050 152153196174 181134757350 211323883575 253588660290 271702136025 380382990435 422647767150 543404272050 633971650725 760765980870 1267943301450 1901914952175 3803829904350