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5048654336 = 29112227359
BaseRepresentation
bin1001011001110110…
…00101101000000000
3111000211221012202122
410230323011220000
540314423414321
62152550103412
7236052565565
oct45473055000
914024835678
105048654336
112160919800
12b8a94ab68
13625c6563b
1435c72886c
151e83678ab
hex12cec5a00

5048654336 has 120 divisors (see below), whose sum is σ = 11167722720. Its totient is φ = 2278369280.

The previous prime is 5048654309. The next prime is 5048654419. The reversal of 5048654336 is 6334568405.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14062925 + ... + 14063283.

It is an arithmetic number, because the mean of its divisors is an integer number (93064356).

Almost surely, 25048654336 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 5048654336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583861360).

5048654336 is an abundant number, since it is smaller than the sum of its proper divisors (6119068384).

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

5048654336 is a wasteful number, since it uses less digits than its factorization.

5048654336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The square root of 5048654336 is about 71053.8833280772. The cubic root of 5048654336 is about 1715.5045687888.

The spelling of 5048654336 in words is "five billion, forty-eight million, six hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 227 242 256 352 359 454 484 512 704 718 908 968 1408 1436 1816 1936 2497 2816 2872 3632 3872 3949 4994 5632 5744 7264 7744 7898 9988 11488 14528 15488 15796 19976 22976 27467 29056 30976 31592 39952 43439 45952 54934 58112 61952 63184 79904 81493 86878 91904 109868 116224 126368 159808 162986 173756 183808 219736 252736 319616 325972 347512 439472 505472 639232 651944 695024 878944 896423 1010944 1278464 1303888 1390048 1757888 1792846 2021888 2607776 2780096 3515776 3585692 5215552 5560192 7031552 7171384 9860653 10431104 11120384 14063104 14342768 19721306 20862208 22240768 28685536 39442612 41724416 57371072 78885224 114742144 157770448 229484288 315540896 458968576 631081792 1262163584 2524327168 5048654336