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4580796672 = 2833798389
BaseRepresentation
bin1000100010000100…
…10110100100000000
3102211020120120201000
410101002112210000
533340140443142
62034314212000
7221342062224
oct42102264400
912736516630
104580796672
111a40816381
12a7a124000
1358005569a
1431653c784
151bc24d14c
hex111096900

4580796672 has 144 divisors (see below), whose sum is σ = 13719328000. Its totient is φ = 1507424256.

The previous prime is 4580796641. The next prime is 4580796677. The reversal of 4580796672 is 2766970854.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4580796677) 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, 541854 + ... + 550242.

Almost surely, 24580796672 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 4580796672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6859664000).

4580796672 is an abundant number, since it is smaller than the sum of its proper divisors (9138531328).

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

4580796672 is an equidigital number, since it uses as much as digits as its factorization.

4580796672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8493 (or 8473 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 4580796672 is about 67681.5829602116. The cubic root of 4580796672 is about 1660.7859867173.

The spelling of 4580796672 in words is "four billion, five hundred eighty million, seven hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 128 144 158 192 216 237 256 288 316 384 432 474 576 632 711 768 864 948 1152 1264 1422 1728 1896 2133 2304 2528 2844 3456 3792 4266 5056 5688 6912 7584 8389 8532 10112 11376 15168 16778 17064 20224 22752 25167 30336 33556 34128 45504 50334 60672 67112 68256 75501 91008 100668 134224 136512 151002 182016 201336 226503 268448 273024 302004 402672 453006 536896 546048 604008 662731 805344 906012 1073792 1208016 1325462 1610688 1812024 1988193 2147584 2416032 2650924 3221376 3624048 3976386 4832064 5301848 5964579 6442752 7248096 7952772 9664128 10603696 11929158 14496192 15905544 17893737 19328256 21207392 23858316 28992384 31811088 35787474 42414784 47716632 57984768 63622176 71574948 84829568 95433264 127244352 143149896 169659136 190866528 254488704 286299792 381733056 508977408 572599584 763466112 1145199168 1526932224 2290398336 4580796672