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38954247840 = 253453196959
BaseRepresentation
bin100100010001110110…
…101010011010100000
310201112210021211020000
4210101312222122200
51114234241412330
625521220420000
72546215433454
oct442166523240
9121483254200
1038954247840
111557a725a62
127671847600
13389a5165c1
141c57750664
15102ecb9560
hex911daa6a0

38954247840 has 240 divisors, whose sum is σ = 141912207360. Its totient is φ = 10052605440.

The previous prime is 38954247817. The next prime is 38954247853. The reversal of 38954247840 is 4874245983.

38954247840 is a `hidden beast` number, since 3 + 8 + 95 + 42 + 478 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 353281 + ... + 450239.

It is an arithmetic number, because the mean of its divisors is an integer number (591300864).

Almost surely, 238954247840 is an apocalyptic number.

38954247840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38954247840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70956103680).

38954247840 is an abundant number, since it is smaller than the sum of its proper divisors (102957959520).

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

38954247840 is a wasteful number, since it uses less digits than its factorization.

38954247840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97017 (or 97000 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 38954247840 in words is "thirty-eight billion, nine hundred fifty-four million, two hundred forty-seven thousand, eight hundred forty".