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5014056100 = 2252732972
BaseRepresentation
bin1001010101101110…
…00110110010100100
3110221102211102220111
410222313012302210
540232044243400
62145312342404
7235152526234
oct45267066244
913842742814
105014056100
112143338619
12b7b244a04
1361ba40701
14357cbdcc4
151e52d13ba
hex12adc6ca4

5014056100 has 81 divisors (see below), whose sum is σ = 11146491657. Its totient is φ = 1957754880.

The previous prime is 5014056079. The next prime is 5014056119. The reversal of 5014056100 is 16504105.

The square root of 5014056100 is 70810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3127717476 + 1886338624 = 55926^2 + 43432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51691252 + ... + 51691348.

Almost surely, 25014056100 is an apocalyptic number.

5014056100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5014056100 is the 70810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5014056100

5014056100 is an abundant number, since it is smaller than the sum of its proper divisors (6132435557).

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

5014056100 is an equidigital number, since it uses as much as digits as its factorization.

5014056100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The cubic root of 5014056100 is about 1711.5768203368.

The spelling of 5014056100 in words is "five billion, fourteen million, fifty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 97 100 146 194 292 365 388 485 730 970 1460 1825 1940 2425 3650 4850 5329 7081 7300 9409 9700 10658 14162 18818 21316 26645 28324 35405 37636 47045 53290 70810 94090 106580 133225 141620 177025 188180 235225 266450 354050 470450 516913 532900 686857 708100 940900 1033826 1373714 2067652 2584565 2747428 3434285 5169130 6868570 10338260 12922825 13737140 17171425 25845650 34342850 50140561 51691300 68685700 100281122 200562244 250702805 501405610 1002811220 1253514025 2507028050 5014056100