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4864746320 = 245719457213
BaseRepresentation
bin1001000011111011…
…00010001101010000
3110120000212201101122
410201331202031100
534430333340240
62122420221412
7231360442610
oct44175421520
913500781348
104864746320
112077027a05
12b3923a868
135c6b23a25
14342134a40
151d713b4b5
hex121f62350

4864746320 has 80 divisors (see below), whose sum is σ = 13606688640. Its totient is φ = 1580124672.

The previous prime is 4864746311. The next prime is 4864746329. The reversal of 4864746320 is 236474684.

It is an interprime number because it is at equal distance from previous prime (4864746311) and next prime (4864746329).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4864746329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217967 + ... + 239246.

It is an arithmetic number, because the mean of its divisors is an integer number (170083608).

Almost surely, 24864746320 is an apocalyptic number.

4864746320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4864746320 is an abundant number, since it is smaller than the sum of its proper divisors (8741942320).

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

4864746320 is a wasteful number, since it uses less digits than its factorization.

4864746320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457252 (or 457246 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 44.

The square root of 4864746320 is about 69747.7334398760. The cubic root of 4864746320 is about 1694.4160871610.

The spelling of 4864746320 in words is "four billion, eight hundred sixty-four million, seven hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 457213 914426 1828852 2286065 3200491 3657704 4572130 6400982 7315408 8687047 9144260 12801964 16002455 17374094 18288520 25603928 32004910 34748188 36577040 43435235 51207856 60809329 64009820 69496376 86870470 121618658 128019640 138992752 173740940 243237316 256039280 304046645 347481880 486474632 608093290 694963760 972949264 1216186580 2432373160 4864746320