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4814689696 = 254110093637
BaseRepresentation
bin1000111101111101…
…00101010110100000
3110102112200120121121
410132332211112200
534330030032241
62113431302024
7230212121125
oct43676452640
913375616547
104814689696
1120508486a3
12b2451a914
135b964891b
1433962474c
151d2a4ead1
hex11efa55a0

4814689696 has 48 divisors (see below), whose sum is σ = 9722409480. Its totient is φ = 2345656320.

The previous prime is 4814689667. The next prime is 4814689709. The reversal of 4814689696 is 6969864184.

It can be written as a sum of positive squares in 4 ways, for example, as 1052094096 + 3762595600 = 32436^2 + 61340^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1321990 + ... + 1325626.

Almost surely, 24814689696 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 4814689696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861204740).

4814689696 is an abundant number, since it is smaller than the sum of its proper divisors (4907719784).

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

4814689696 is a wasteful number, since it uses less digits than its factorization.

4814689696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4697 (or 4689 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 61.

The square root of 4814689696 is about 69387.9650659969. The cubic root of 4814689696 is about 1688.5843794744.

The spelling of 4814689696 in words is "four billion, eight hundred fourteen million, six hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1009 1312 2018 3637 4036 7274 8072 14548 16144 29096 32288 41369 58192 82738 116384 149117 165476 298234 330952 596468 661904 1192936 1323808 2385872 3669733 4771744 7339466 14678932 29357864 58715728 117431456 150459053 300918106 601836212 1203672424 2407344848 4814689696