Search a number
-
+
4936728892224 = 26331953870329
BaseRepresentation
bin100011111010110101111…
…1110001101001101000000
3122110221120010100211101010
41013311223332031031000
51121340410044022344
614255522453040520
71016444513135103
oct107655376151500
918427503324333
104936728892224
111633722839848
12678930626140
1329a6baa2c75c
14130d206b873a
1588637c268b9
hex47d6bf8d340

4936728892224 has 112 divisors (see below), whose sum is σ = 13497272593920. Its totient is φ = 1590820331520.

The previous prime is 4936728892181. The next prime is 4936728892331. The reversal of 4936728892224 is 4222988276394.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5237092 + ... + 6107420.

Almost surely, 24936728892224 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 4936728892224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6748636296960).

4936728892224 is an abundant number, since it is smaller than the sum of its proper divisors (8560543701696).

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

4936728892224 is a wasteful number, since it uses less digits than its factorization.

4936728892224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871328 (or 871318 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 66.

The spelling of 4936728892224 in words is "four trillion, nine hundred thirty-six billion, seven hundred twenty-eight million, eight hundred ninety-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 953 992 1488 1906 1984 2859 2976 3812 5718 5952 7624 11436 15248 22872 29543 30496 45744 59086 60992 88629 91488 118172 177258 182976 236344 354516 472688 709032 870329 945376 1418064 1740658 1890752 2610987 2836128 3481316 5221974 5672256 6962632 10443948 13925264 20887896 26980199 27850528 41775792 53960398 55701056 80940597 83551584 107920796 161881194 167103168 215841592 323762388 431683184 647524776 829423537 863366368 1295049552 1658847074 1726732736 2488270611 2590099104 3317694148 4976541222 5180198208 6635388296 9953082444 13270776592 19906164888 25712129647 26541553184 39812329776 51424259294 53083106368 77136388941 79624659552 102848518588 154272777882 159249319104 205697037176 308545555764 411394074352 617091111528 822788148704 1234182223056 1645576297408 2468364446112 4936728892224