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4788879680 = 265132350051
BaseRepresentation
bin1000111010111000…
…01000000101000000
3110100202010021221002
410131130020011000
534301423122210
62111110151132
7226446543224
oct43534100500
913322107832
104788879680
11203821a202
12b179524a8
135b41acb20
14336026784
151d06524a5
hex11d708140

4788879680 has 112 divisors (see below), whose sum is σ = 12814913664. Its totient is φ = 1691289600.

The previous prime is 4788879677. The next prime is 4788879691. The reversal of 4788879680 is 869788874.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 70655 + ... + 120705.

It is an arithmetic number, because the mean of its divisors is an integer number (114418872).

Almost surely, 24788879680 is an apocalyptic number.

4788879680 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 4788879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6407456832).

4788879680 is an abundant number, since it is smaller than the sum of its proper divisors (8026033984).

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

4788879680 is a wasteful number, since it uses less digits than its factorization.

4788879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50104 (or 50094 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 65.

The square root of 4788879680 is about 69201.7317702382. The cubic root of 4788879680 is about 1685.5616509451.

The spelling of 4788879680 in words is "four billion, seven hundred eighty-eight million, eight hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 92 104 115 130 160 184 208 230 260 299 320 368 416 460 520 598 736 832 920 1040 1196 1472 1495 1840 2080 2392 2990 3680 4160 4784 5980 7360 9568 11960 19136 23920 47840 50051 95680 100102 200204 250255 400408 500510 650663 800816 1001020 1151173 1301326 1601632 2002040 2302346 2602652 3203264 3253315 4004080 4604692 5205304 5755865 6506630 8008160 9209384 10410608 11511730 13013260 14965249 16016320 18418768 20821216 23023460 26026520 29930498 36837536 41642432 46046920 52053040 59860996 73675072 74826245 92093840 104106080 119721992 149652490 184187680 208212160 239443984 299304980 368375360 478887968 598609960 957775936 1197219920 2394439840 4788879680