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4801004680 = 2351711236287
BaseRepresentation
bin1000111100010100…
…11000010010001000
3110101120221022022011
410132022120102020
534313024122210
62112222105304
7226654603123
oct43612302210
913346838264
104801004680
11204405096a
12b1ba1b234
135b6866994
143378a13ba
151d1749d8a
hex11e298488

4801004680 has 64 divisors (see below), whose sum is σ = 11449693440. Its totient is φ = 1805540352.

The previous prime is 4801004641. The next prime is 4801004693. The reversal of 4801004680 is 864001084.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760497 + ... + 766783.

It is an arithmetic number, because the mean of its divisors is an integer number (178901460).

Almost surely, 24801004680 is an apocalyptic number.

4801004680 is a gapful number since it is divisible by the number (40) 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 4801004680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724846720).

4801004680 is an abundant number, since it is smaller than the sum of its proper divisors (6648688760).

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

4801004680 is a wasteful number, since it uses less digits than its factorization.

4801004680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7438 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 4801004680 is about 69289.2825767449. The cubic root of 4801004680 is about 1686.9830140501.

The spelling of 4801004680 in words is "four billion, eight hundred one million, four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1123 2246 4492 5615 6287 8984 11230 12574 19091 22460 25148 31435 38182 44920 50296 62870 76364 95455 106879 125740 152728 190910 213758 251480 381820 427516 534395 763640 855032 1068790 2137580 4275160 7060301 14120602 28241204 35301505 56482408 70603010 120025117 141206020 240050234 282412040 480100468 600125585 960200936 1200251170 2400502340 4801004680