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38350541416 = 231114927710559
BaseRepresentation
bin100011101101110111…
…101101001001101000
310122222201022100200211
4203231313231021220
51112020214311131
625341253110504
72525235136435
oct435567551150
9118881270624
1038350541416
111529a976430
127523628434
133802420975
141bdb4c0b8c
15ee6cb85b1
hex8edded268

38350541416 has 64 divisors (see below), whose sum is σ = 79263360000. Its totient is φ = 17250927360.

The previous prime is 38350541407. The next prime is 38350541429. The reversal of 38350541416 is 61414505383.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3626745 + ... + 3637303.

It is an arithmetic number, because the mean of its divisors is an integer number (1238490000).

Almost surely, 238350541416 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 38350541416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39631680000).

38350541416 is an abundant number, since it is smaller than the sum of its proper divisors (40912818584).

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

38350541416 is a wasteful number, since it uses less digits than its factorization.

38350541416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11002 (or 10998 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 38350541416 in words is "thirty-eight billion, three hundred fifty million, five hundred forty-one thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 22 44 88 149 277 298 554 596 1108 1192 1639 2216 3047 3278 6094 6556 10559 12188 13112 21118 24376 41273 42236 82546 84472 116149 165092 232298 330184 454003 464596 908006 929192 1573291 1816012 2924843 3146582 3632024 5849686 6293164 11699372 12586328 17306201 23398744 32173273 34612402 64346546 69224804 128693092 138449608 257386184 435801607 871603214 1743206428 3486412856 4793817677 9587635354 19175270708 38350541416