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5003665824 = 2532310721179
BaseRepresentation
bin1001010100011110…
…11110000110100000
3110220201021120010110
410222033132012200
540221414301244
62144301531320
7234665313003
oct45217360640
913821246113
105003665824
112138491213
12b77873b40
13619843311
1435677753a
151e442c9b9
hex12a3de1a0

5003665824 has 96 divisors (see below), whose sum is σ = 13834437120. Its totient is φ = 1580387072.

The previous prime is 5003665813. The next prime is 5003665841. The reversal of 5003665824 is 4285663005.

It is a tau number, because it is divible by the number of its divisors (96).

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, 225667 + ... + 246845.

It is an arithmetic number, because the mean of its divisors is an integer number (144108720).

Almost surely, 25003665824 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 5003665824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6917218560).

5003665824 is an abundant number, since it is smaller than the sum of its proper divisors (8830771296).

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

5003665824 is a wasteful number, since it uses less digits than its factorization.

5003665824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21322 (or 21314 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 5003665824 is about 70736.5946593416. The cubic root of 5003665824 is about 1710.3937426465.

The spelling of 5003665824 in words is "five billion, three million, six hundred sixty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 107 138 184 214 276 321 368 428 552 642 736 856 1104 1284 1712 2208 2461 2568 3424 4922 5136 7383 9844 10272 14766 19688 21179 29532 39376 42358 59064 63537 78752 84716 118128 127074 169432 236256 254148 338864 487117 508296 677728 974234 1016592 1461351 1948468 2033184 2266153 2922702 3896936 4532306 5845404 6798459 7793872 9064612 11690808 13596918 15587744 18129224 23381616 27193836 36258448 46763232 52121519 54387672 72516896 104243038 108775344 156364557 208486076 217550688 312729114 416972152 625458228 833944304 1250916456 1667888608 2501832912 5003665824