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4954910976 = 28322393503
BaseRepresentation
bin1001001110101010…
…11111000100000000
3110210022112120001100
410213111133010000
540121424122401
62135400534400
7233534022411
oct44725370400
913708476040
104954910976
112112a10a54
12b63481400
1360c7028b2
143500c5808
151deeebb86
hex12755f100

4954910976 has 108 divisors (see below), whose sum is σ = 14907529728. Its totient is φ = 1579809792.

The previous prime is 4954910963. The next prime is 4954910977. The reversal of 4954910976 is 6790194594.

It is a happy number.

4954910976 is a `hidden beast` number, since 4 + 9 + 549 + 1 + 0 + 97 + 6 = 666.

It is a super-2 number, since 2×49549109762 = 49102285560170545152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4954910977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6241 + ... + 99743.

Almost surely, 24954910976 is an apocalyptic number.

4954910976 is a gapful number since it is divisible by the number (46) 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 4954910976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7453764864).

4954910976 is an abundant number, since it is smaller than the sum of its proper divisors (9952618752).

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

4954910976 is a wasteful number, since it uses less digits than its factorization.

4954910976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93548 (or 93531 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 4954910976 is about 70391.1285319393. The cubic root of 4954910976 is about 1704.8203416331.

The spelling of 4954910976 in words is "four billion, nine hundred fifty-four million, nine hundred ten thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 552 576 736 768 828 1104 1152 1472 1656 2208 2304 2944 3312 4416 5888 6624 8832 13248 17664 26496 52992 93503 187006 280509 374012 561018 748024 841527 1122036 1496048 1683054 2150569 2244072 2992096 3366108 4301138 4488144 5984192 6451707 6732216 8602276 8976288 11968384 12903414 13464432 17204552 17952576 19355121 23936768 25806828 26928864 34409104 35905152 38710242 51613656 53857728 68818208 71810304 77420484 103227312 107715456 137636416 154840968 206454624 215430912 275272832 309681936 412909248 550545664 619363872 825818496 1238727744 1651636992 2477455488 4954910976