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4706472768 = 26335968281
BaseRepresentation
bin1000110001000011…
…10001001101000000
3110011000001120220020
410120201301031000
534114324112033
62055004013440
7224426233644
oct43041611500
913130046806
104706472768
111aa5754718
12ab4231280
135a00b903a
143290d4c24
151c82c56b3
hex118871340

4706472768 has 56 divisors (see below), whose sum is σ = 12487412160. Its totient is φ = 1564431360.

The previous prime is 4706472761. The next prime is 4706472787. The reversal of 4706472768 is 8672746074.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4706472768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4706472761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34788 + ... + 103068.

Almost surely, 24706472768 is an apocalyptic number.

4706472768 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 4706472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6243706080).

4706472768 is an abundant number, since it is smaller than the sum of its proper divisors (7780939392).

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

4706472768 is a wasteful number, since it uses less digits than its factorization.

4706472768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68655 (or 68645 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 51.

The square root of 4706472768 is about 68603.7372742914. The cubic root of 4706472768 is about 1675.8372905157.

The spelling of 4706472768 in words is "four billion, seven hundred six million, four hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 359 718 1077 1436 2154 2872 4308 5744 8616 11488 17232 22976 34464 68281 68928 136562 204843 273124 409686 546248 819372 1092496 1638744 2184992 3277488 4369984 6554976 13109952 24512879 49025758 73538637 98051516 147077274 196103032 294154548 392206064 588309096 784412128 1176618192 1568824256 2353236384 4706472768