Search a number
-
+
5000216302464 = 27383915520139
BaseRepresentation
bin100100011000011010000…
…0111011101001110000000
3122201000102200010102121120
41020300310013131032000
51123410420333134324
614345022340352240
71024153010205435
oct110606407351600
918630380112546
105000216302464
111658641824829
126890aa3a5680
132a3697b389a6
141340243adb8c
158a1016eb179
hex48c341dd380

5000216302464 has 64 divisors (see below), whose sum is σ = 13297655952000. Its totient is φ = 1664752082432.

The previous prime is 5000216302409. The next prime is 5000216302547. The reversal of 5000216302464 is 4642036120005.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7437894 + ... + 8082245.

It is an arithmetic number, because the mean of its divisors is an integer number (207775874250).

Almost surely, 25000216302464 is an apocalyptic number.

It is an amenable number.

5000216302464 is an abundant number, since it is smaller than the sum of its proper divisors (8297439649536).

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

5000216302464 is a wasteful number, since it uses less digits than its factorization.

5000216302464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15520995 (or 15520983 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 5000216302464 in words is "five trillion, two hundred sixteen million, three hundred two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 839 1678 2517 3356 5034 6712 10068 13424 20136 26848 40272 53696 80544 107392 161088 322176 15520139 31040278 46560417 62080556 93120834 124161112 186241668 248322224 372483336 496644448 744966672 993288896 1489933344 1986577792 2979866688 5959733376 13021396621 26042793242 39064189863 52085586484 78128379726 104171172968 156256759452 208342345936 312513518904 416684691872 625027037808 833369383744 1250054075616 1666738767488 2500108151232 5000216302464