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38580474900 = 2235211217101619
BaseRepresentation
bin100011111011100100…
…110101010000010100
310200120201222012010210
4203323210311100110
51113003100144100
625420145245420
72534026424442
oct437344652024
9120521865123
1038580474900
11153a8743900
127588633870
13383ac58896
141c1dc55b92
15100c086c50
hex8fb935414

38580474900 has 432 divisors, whose sum is σ = 131412214080. Its totient is φ = 8701440000.

The previous prime is 38580474817. The next prime is 38580474949. The reversal of 38580474900 is 947408583.

It is a self number, because there is not a number n which added to its sum of digits gives 38580474900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62326791 + ... + 62327409.

It is an arithmetic number, because the mean of its divisors is an integer number (304194940).

Almost surely, 238580474900 is an apocalyptic number.

38580474900 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 38580474900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65706107040).

38580474900 is an abundant number, since it is smaller than the sum of its proper divisors (92831739180).

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

38580474900 is a wasteful number, since it uses less digits than its factorization.

38580474900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 38580474900 in words is "thirty-eight billion, five hundred eighty million, four hundred seventy-four thousand, nine hundred".