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5329904900 = 2252113471673
BaseRepresentation
bin1001111011010111…
…11110010100000100
3111202110011020000012
410331223332110010
541403423424100
62240514205352
7246036305225
oct47553762404
914673136005
105329904900
112295657491
121048b83858
1366c2ca2a8
14387c1b24c
15212dc1135
hex13dafe504

5329904900 has 36 divisors (see below), whose sum is σ = 11668271412. Its totient is φ = 2113090560.

The previous prime is 5329904897. The next prime is 5329904903. The reversal of 5329904900 is 94099235.

It is an interprime number because it is at equal distance from previous prime (5329904897) and next prime (5329904903).

It can be written as a sum of positive squares in 6 ways, for example, as 171505216 + 5158399684 = 13096^2 + 71822^2 .

It is not an unprimeable number, because it can be changed into a prime (5329904903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224537 + ... + 247136.

Almost surely, 25329904900 is an apocalyptic number.

5329904900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5329904900 is an abundant number, since it is smaller than the sum of its proper divisors (6338366512).

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

5329904900 is a wasteful number, since it uses less digits than its factorization.

5329904900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471800 (or 471793 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 41.

The square root of 5329904900 is about 73006.1976821146. The cubic root of 5329904900 is about 1746.7864726755.

The spelling of 5329904900 in words is "five billion, three hundred twenty-nine million, nine hundred four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 11300 471673 943346 1886692 2358365 4716730 9433460 11791825 23583650 47167300 53299049 106598098 213196196 266495245 532990490 1065980980 1332476225 2664952450 5329904900