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4937705136 = 24337132343127
BaseRepresentation
bin1001001100100111…
…10110011010110000
3110202010011102002000
410212103312122300
540103023031021
62133544054000
7233234541540
oct44623663260
913663142060
104937705136
112104229a51
12b59764300
13608c8a220
1434bac7320
151dd74db26
hex1264f66b0

4937705136 has 640 divisors, whose sum is σ = 18772131840. Its totient is φ = 1207084032.

The previous prime is 4937705119. The next prime is 4937705147. The reversal of 4937705136 is 6315077394.

It is a junction number, because it is equal to n+sod(n) for n = 4937705091 and 4937705100.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38879505 + ... + 38879631.

It is an arithmetic number, because the mean of its divisors is an integer number (29331456).

Almost surely, 24937705136 is an apocalyptic number.

4937705136 is a gapful number since it is divisible by the number (46) 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 4937705136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9386065920).

4937705136 is an abundant number, since it is smaller than the sum of its proper divisors (13834426704).

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

4937705136 is a wasteful number, since it uses less digits than its factorization.

4937705136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 4937705136 is about 70268.8062798850. The cubic root of 4937705136 is about 1702.8447337000.

The spelling of 4937705136 in words is "four billion, nine hundred thirty-seven million, seven hundred five thousand, one hundred thirty-six".