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4738673984 = 261111359567
BaseRepresentation
bin1000110100111001…
…00110110101000000
3110020020122120122212
410122130212311000
534201100031414
62102114121252
7225300031022
oct43234466500
913206576585
104738673984
1120119489a0
12b02b80228
135a6981c05
1432d4b8012
151cb03683e
hex11a726d40

4738673984 has 56 divisors (see below), whose sum is σ = 10349106048. Its totient is φ = 2134845440.

The previous prime is 4738673887. The next prime is 4738674013. The reversal of 4738673984 is 4893768374.

It is a super-2 number, since 2×47386739842 = 44910062253276864512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49769 + ... + 109335.

Almost surely, 24738673984 is an apocalyptic number.

4738673984 is a gapful number since it is divisible by the number (44) 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 4738673984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174553024).

4738673984 is an abundant number, since it is smaller than the sum of its proper divisors (5610432064).

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

4738673984 is a wasteful number, since it uses less digits than its factorization.

4738673984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59703 (or 59693 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 59.

The square root of 4738673984 is about 68838.0271652231. The cubic root of 4738673984 is about 1679.6505773665.

The spelling of 4738673984 in words is "four billion, seven hundred thirty-eight million, six hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 176 226 352 452 704 904 1243 1808 2486 3616 4972 7232 9944 19888 39776 59567 79552 119134 238268 476536 655237 953072 1310474 1906144 2620948 3812288 5241896 6731071 10483792 13462142 20967584 26924284 41935168 53848568 74041781 107697136 148083562 215394272 296167124 430788544 592334248 1184668496 2369336992 4738673984