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5073712900 = 22521724192
BaseRepresentation
bin1001011100110101…
…01011011100000100
3111002121002022122121
410232122223130010
540342332303100
62155243135324
7236505563614
oct45632533404
914077068577
105073712900
112173a84663
12b97214544
1362b1ca3a9
14361baca44
151ea66751a
hex12e6ab704

5073712900 has 81 divisors (see below), whose sum is σ = 11723678239. Its totient is φ = 1905544960.

The previous prime is 5073712879. The next prime is 5073712901. The reversal of 5073712900 is 92173705.

The square root of 5073712900 is 71230.

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

It can be written as a sum of positive squares in 4 ways, for example, as 118679236 + 4955033664 = 10894^2 + 70392^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5073712901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12108891 + ... + 12109309.

Almost surely, 25073712900 is an apocalyptic number.

5073712900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5073712900 is the 71230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5073712900

5073712900 is an abundant number, since it is smaller than the sum of its proper divisors (6649965339).

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

5073712900 is a wasteful number, since it uses less digits than its factorization.

5073712900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The cubic root of 5073712900 is about 1718.3381392870.

The spelling of 5073712900 in words is "five billion, seventy-three million, seven hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 419 425 578 838 850 1156 1445 1676 1700 2095 2890 4190 5780 7123 7225 8380 10475 14246 14450 20950 28492 28900 35615 41900 71230 121091 142460 175561 178075 242182 351122 356150 484364 605455 702244 712300 877805 1210910 1755610 2421820 2984537 3027275 3511220 4389025 5969074 6054550 8778050 11938148 12109100 14922685 17556100 29845370 50737129 59690740 74613425 101474258 149226850 202948516 253685645 298453700 507371290 1014742580 1268428225 2536856450 5073712900