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4881968208 = 2432134755487
BaseRepresentation
bin1001000101111110…
…01110110001010000
3110121020021200101100
410202333032301100
534444240440313
62124233304400
7231660021315
oct44277166120
913536250340
104881968208
11208581aa77
12b42b65100
135ca5737b0
14344538d0c
151d88de173
hex122fcec50

4881968208 has 120 divisors (see below), whose sum is σ = 15027038208. Its totient is φ = 1470157056.

The previous prime is 4881968159. The next prime is 4881968209. The reversal of 4881968208 is 8028691884.

It is a super-2 number, since 2×48819682082 = 47667227167845462528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4881968209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60241 + ... + 115727.

Almost surely, 24881968208 is an apocalyptic number.

4881968208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4881968208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7513519104).

4881968208 is an abundant number, since it is smaller than the sum of its proper divisors (10145070000).

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

4881968208 is a wasteful number, since it uses less digits than its factorization.

4881968208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55561 (or 55552 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 4881968208 is about 69871.0827739201. The cubic root of 4881968208 is about 1696.4132229294.

The spelling of 4881968208 in words is "four billion, eight hundred eighty-one million, nine hundred sixty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 47 48 52 72 78 94 104 117 141 144 156 188 208 234 282 312 376 423 468 564 611 624 752 846 936 1128 1222 1692 1833 1872 2256 2444 3384 3666 4888 5499 6768 7332 9776 10998 14664 21996 29328 43992 55487 87984 110974 166461 221948 332922 443896 499383 665844 721331 887792 998766 1331688 1442662 1997532 2163993 2607889 2663376 2885324 3995064 4327986 5215778 5770648 6491979 7823667 7990128 8655972 10431556 11541296 12983958 15647334 17311944 20863112 23471001 25967916 31294668 33902557 34623888 41726224 46942002 51935832 62589336 67805114 93884004 101707671 103871664 125178672 135610228 187768008 203415342 271220456 305123013 375536016 406830684 542440912 610246026 813661368 1220492052 1627322736 2440984104 4881968208