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38746404500 = 225388032
BaseRepresentation
bin100100000101011101…
…110011011010010100
310201000022012021202112
4210011131303122110
51113323034421000
625444433530152
72541113001266
oct440535633224
9121008167675
1038746404500
1115483376201
127614113958
13386644428b
141c37cc9b36
15101b911235
hex905773694

38746404500 has 36 divisors (see below), whose sum is σ = 84631761396. Its totient is φ = 15496801200.

The previous prime is 38746404479. The next prime is 38746404503. The reversal of 38746404500 is 540464783.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1239884944 + 37506519556 = 35212^2 + 193666^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38746404503) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4397099 + ... + 4405901.

It is an arithmetic number, because the mean of its divisors is an integer number (2350882261).

Almost surely, 238746404500 is an apocalyptic number.

It is an amenable number.

38746404500 is an abundant number, since it is smaller than the sum of its proper divisors (45885356896).

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

38746404500 is an frugal number, since it uses more digits than its factorization.

38746404500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17625 (or 8810 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 38746404500 in words is "thirty-eight billion, seven hundred forty-six million, four hundred four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 8803 17606 35212 44015 88030 176060 220075 440150 880300 1100375 2200750 4401500 77492809 154985618 309971236 387464045 774928090 1549856180 1937320225 3874640450 7749280900 9686601125 19373202250 38746404500