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6004507056 = 243314439109
BaseRepresentation
bin1011001011110010…
…11000000110110000
3120111110112120012020
411211321120012300
544244123211211
62431453231440
7301540316322
oct54571300660
916443476166
106004507056
11260142a029
1211b6a92580
13748cb6372
1440d663612
15252228306
hex165e581b0

6004507056 has 80 divisors (see below), whose sum is σ = 16049925120. Its totient is φ = 1932353280.

The previous prime is 6004507013. The next prime is 6004507063. The reversal of 6004507056 is 6507054006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654630 + ... + 663738.

It is an arithmetic number, because the mean of its divisors is an integer number (200624064).

Almost surely, 26004507056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6004507056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8024962560).

6004507056 is an abundant number, since it is smaller than the sum of its proper divisors (10045418064).

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

6004507056 is a wasteful number, since it uses less digits than its factorization.

6004507056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9594 (or 9588 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 6004507056 is about 77488.7543841040. The cubic root of 6004507056 is about 1817.5754714127.

The spelling of 6004507056 in words is "six billion, four million, five hundred seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 443 496 744 886 1329 1488 1772 2658 3544 5316 7088 9109 10632 13733 18218 21264 27327 27466 36436 41199 54654 54932 72872 82398 109308 109864 145744 164796 218616 219728 282379 329592 437232 564758 659184 847137 1129516 1694274 2259032 3388548 4035287 4518064 6777096 8070574 12105861 13554192 16141148 24211722 32282296 48423444 64564592 96846888 125093897 193693776 250187794 375281691 500375588 750563382 1000751176 1501126764 2001502352 3002253528 6004507056