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38468640480 = 253580143001
BaseRepresentation
bin100011110100111010…
…001101111011100000
310200021221112102011020
4203310322031323200
51112240432443410
625401112245440
72531201022534
oct436472157340
9120257472136
1038468640480
11153505a9a66
1275570a0880
133820a3057a
141c0d063bc4
151002345a70
hex8f4e8dee0

38468640480 has 48 divisors (see below), whose sum is σ = 121176219024. Its totient is φ = 10258304000.

The previous prime is 38468640479. The next prime is 38468640493. The reversal of 38468640480 is 8404686483.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40071021 + ... + 40071980.

It is an arithmetic number, because the mean of its divisors is an integer number (2524504563).

Almost surely, 238468640480 is an apocalyptic number.

38468640480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38468640480 is an abundant number, since it is smaller than the sum of its proper divisors (82707578544).

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

38468640480 is a wasteful number, since it uses less digits than its factorization.

38468640480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80143019 (or 80143011 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 51.

The spelling of 38468640480 in words is "thirty-eight billion, four hundred sixty-eight million, six hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 80143001 160286002 240429003 320572004 400715005 480858006 641144008 801430010 961716012 1202145015 1282288016 1602860020 1923432024 2404290030 2564576032 3205720040 3846864048 4808580060 6411440080 7693728096 9617160120 12822880160 19234320240 38468640480