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5051060600 = 2352412712273
BaseRepresentation
bin1001011010001000…
…10001000101111000
3111001000110110112112
410231010101011320
540321032414400
62153113431452
7236112210125
oct45504210570
914030413475
105051060600
112162212653
12b8b70b588
136265c8971
1435cb9374c
151e8690835
hex12d111178

5051060600 has 96 divisors (see below), whose sum is σ = 12079851840. Its totient is φ = 1963008000.

The previous prime is 5051060579. The next prime is 5051060617. The reversal of 5051060600 is 60601505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2221064 + ... + 2223336.

It is an arithmetic number, because the mean of its divisors is an integer number (125831790).

Almost surely, 25051060600 is an apocalyptic number.

5051060600 is a gapful number since it is divisible by the number (50) 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 5051060600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039925920).

5051060600 is an abundant number, since it is smaller than the sum of its proper divisors (7028791240).

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

5051060600 is a wasteful number, since it uses less digits than its factorization.

5051060600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 5051060600 is about 71070.8139815494. The cubic root of 5051060600 is about 1715.7770705269. Note that the first 3 decimals are identical.

The spelling of 5051060600 in words is "five billion, fifty-one million, sixty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 271 328 410 542 820 1025 1084 1355 1640 2050 2168 2273 2710 4100 4546 5420 6775 8200 9092 10840 11111 11365 13550 18184 22222 22730 27100 44444 45460 54200 55555 56825 88888 90920 93193 111110 113650 186386 222220 227300 277775 372772 444440 454600 465965 555550 615983 745544 931930 1111100 1231966 1863860 2222200 2329825 2463932 3079915 3727720 4659650 4927864 6159830 9319300 12319660 15399575 18638600 24639320 25255303 30799150 50510606 61598300 101021212 123196600 126276515 202042424 252553030 505106060 631382575 1010212120 1262765150 2525530300 5051060600