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38414168448 = 273544318379
BaseRepresentation
bin100011110001101010…
…011011000110000000
310200011011000221120120
4203301222123012000
51112133011342243
625351444540240
72526640021125
oct436152330600
9120134027516
1038414168448
1115322884357
1275409b1680
13381266a7b6
141c05b2474c
15eec685c83
hex8f1a9b180

38414168448 has 64 divisors (see below), whose sum is σ = 102061934400. Its totient is φ = 12801673728.

The previous prime is 38414168423. The next prime is 38414168477. The reversal of 38414168448 is 84486141483.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 38414168448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2080923 + ... + 2099301.

It is an arithmetic number, because the mean of its divisors is an integer number (1594717725).

Almost surely, 238414168448 is an apocalyptic number.

It is an amenable number.

38414168448 is an abundant number, since it is smaller than the sum of its proper divisors (63647765952).

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

38414168448 is a wasteful number, since it uses less digits than its factorization.

38414168448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23839 (or 23827 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The spelling of 38414168448 in words is "thirty-eight billion, four hundred fourteen million, one hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 5443 10886 16329 18379 21772 32658 36758 43544 55137 65316 73516 87088 110274 130632 147032 174176 220548 261264 294064 348352 441096 522528 588128 696704 882192 1045056 1176256 1764384 2090112 2352512 3528768 7057536 100036897 200073794 300110691 400147588 600221382 800295176 1200442764 1600590352 2400885528 3201180704 4801771056 6402361408 9603542112 12804722816 19207084224 38414168448