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5004277300 = 225211311011453
BaseRepresentation
bin1001010100100011…
…10011011000110100
3110220202102121220201
410222101303120310
540222043333200
62144323010244
7235003440511
oct45221633064
913822377821
105004277300
112138869670
12b77b09984
136199c8739
14356896308
151e44edc6a
hex12a473634

5004277300 has 144 divisors (see below), whose sum is σ = 12358209024. Its totient is φ = 1742400000.

The previous prime is 5004277253. The next prime is 5004277363. The reversal of 5004277300 is 37724005.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3443374 + ... + 3444826.

It is an arithmetic number, because the mean of its divisors is an integer number (85820896).

Almost surely, 25004277300 is an apocalyptic number.

5004277300 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 5004277300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6179104512).

5004277300 is an abundant number, since it is smaller than the sum of its proper divisors (7353931724).

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

5004277300 is a wasteful number, since it uses less digits than its factorization.

5004277300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 5004277300 is about 70740.9167314080. The cubic root of 5004277300 is about 1710.4634130416.

The spelling of 5004277300 in words is "five billion, four million, two hundred seventy-seven thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 101 110 124 155 202 220 275 310 341 404 505 550 620 682 775 1010 1100 1111 1364 1453 1550 1705 2020 2222 2525 2906 3100 3131 3410 4444 5050 5555 5812 6262 6820 7265 8525 10100 11110 12524 14530 15655 15983 17050 22220 27775 29060 31310 31966 34100 34441 36325 45043 55550 62620 63932 68882 72650 78275 79915 90086 111100 137764 145300 146753 156550 159830 172205 180172 225215 293506 313100 319660 344410 399575 450430 495473 587012 688820 733765 799150 861025 900860 990946 1126075 1467530 1598300 1614283 1722050 1981892 2252150 2477365 2935060 3228566 3444100 3668825 4504300 4549343 4954730 6457132 7337650 8071415 9098686 9909460 12386825 14675300 16142830 18197372 22746715 24773650 32285660 40357075 45493430 49547300 50042773 80714150 90986860 100085546 113733575 161428300 200171092 227467150 250213865 454934300 500427730 1000855460 1251069325 2502138650 5004277300