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4955759784 = 23321072572503
BaseRepresentation
bin1001001110110001…
…01110010010101000
3110210101010200101200
410213120232102220
540122133303114
62135431044200
7233544156153
oct44730562250
913711120350
104955759784
112113440748
12b63810660
1360c93c051
14350266c9a
151e0118409
hex12762e4a8

4955759784 has 96 divisors (see below), whose sum is σ = 13605433920. Its totient is φ = 1629462528.

The previous prime is 4955759771. The next prime is 4955759803. The reversal of 4955759784 is 4879575594.

4955759784 is a `hidden beast` number, since 4 + 9 + 557 + 5 + 9 + 78 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1978677 + ... + 1981179.

It is an arithmetic number, because the mean of its divisors is an integer number (141723270).

Almost surely, 24955759784 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 4955759784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6802716960).

4955759784 is an abundant number, since it is smaller than the sum of its proper divisors (8649674136).

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

4955759784 is a wasteful number, since it uses less digits than its factorization.

4955759784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2872 counting only the distinct ones).

The product of its digits is 63504000, while the sum is 63.

The square root of 4955759784 is about 70397.1574994332. The cubic root of 4955759784 is about 1704.9176849577.

The spelling of 4955759784 in words is "four billion, nine hundred fifty-five million, seven hundred fifty-nine thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 257 321 428 514 642 771 856 963 1028 1284 1542 1926 2056 2313 2503 2568 3084 3852 4626 5006 6168 7509 7704 9252 10012 15018 18504 20024 22527 27499 30036 45054 54998 60072 82497 90108 109996 164994 180216 219992 247491 267821 329988 494982 535642 643271 659976 803463 989964 1071284 1286542 1606926 1929813 1979928 2142568 2410389 2573084 3213852 3859626 4820778 5146168 5789439 6427704 7719252 9641556 11578878 15438504 19283112 23157756 46315512 68829997 137659994 206489991 275319988 412979982 550639976 619469973 825959964 1238939946 1651919928 2477879892 4955759784