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4938071004 = 2232137168639
BaseRepresentation
bin1001001100101010…
…01111101111011100
3110202010211222221200
410212111033233130
540103121233004
62133555555500
7233240624316
oct44625175734
913663758850
104938071004
112104459919
12b598bbb90
13609087909
1434bb807b6
151dd7c2239
hex12654fbdc

4938071004 has 18 divisors (see below), whose sum is σ = 12482346240. Its totient is φ = 1646023656.

The previous prime is 4938070981. The next prime is 4938071009. The reversal of 4938071004 is 4001708394.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 137168639 = 4938071004 / (4 + 9 + 3 + 8 + 0 + 7 + 1 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 4938071004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4938071009) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 68584284 + ... + 68584355.

It is an arithmetic number, because the mean of its divisors is an integer number (693463680).

Almost surely, 24938071004 is an apocalyptic number.

It is an amenable number.

4938071004 is an abundant number, since it is smaller than the sum of its proper divisors (7544275236).

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

4938071004 is a wasteful number, since it uses less digits than its factorization.

4938071004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137168649 (or 137168644 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4938071004 is about 70271.4095774377. The cubic root of 4938071004 is about 1702.8867910925.

Adding to 4938071004 its reverse (4001708394), we get a palindrome (8939779398).

The spelling of 4938071004 in words is "four billion, nine hundred thirty-eight million, seventy-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 137168639 274337278 411505917 548674556 823011834 1234517751 1646023668 2469035502 4938071004