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4834045216 = 2572111321559
BaseRepresentation
bin1001000000010000…
…11010110100100000
3110110220002221101201
410200020122310200
534400003421331
62115402210544
7230535464200
oct44010326440
913426087351
104834045216
1120607687a0
12b2aab3a54
135c06648b0
1433c022400
151d45c4a61
hex12021ad20

4834045216 has 144 divisors (see below), whose sum is σ = 13006889280. Its totient is φ = 1738437120.

The previous prime is 4834045211. The next prime is 4834045291. The reversal of 4834045216 is 6125404384.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4834045211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213445 + ... + 235003.

It is an arithmetic number, because the mean of its divisors is an integer number (90325620).

Almost surely, 24834045216 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 4834045216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6503444640).

4834045216 is an abundant number, since it is smaller than the sum of its proper divisors (8172844064).

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

4834045216 is a wasteful number, since it uses less digits than its factorization.

4834045216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21607 (or 21592 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 4834045216 is about 69527.2983510793. The cubic root of 4834045216 is about 1690.8441117723.

The spelling of 4834045216 in words is "four billion, eight hundred thirty-four million, forty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 49 52 56 77 88 91 98 104 112 143 154 176 182 196 208 224 286 308 352 364 392 416 539 572 616 637 728 784 1001 1078 1144 1232 1274 1456 1568 2002 2156 2288 2464 2548 2912 4004 4312 4576 5096 7007 8008 8624 10192 14014 16016 17248 20384 21559 28028 32032 43118 56056 86236 112112 150913 172472 224224 237149 280267 301826 344944 474298 560534 603652 689888 948596 1056391 1121068 1207304 1660043 1897192 1961869 2112782 2242136 2414608 3082937 3320086 3794384 3923738 4225564 4484272 4829216 6165874 6640172 7588768 7847476 8451128 8968544 11620301 12331748 13280344 13733083 15694952 16902256 21580559 23240602 24663496 26560688 27466166 31389904 33804512 43161118 46481204 49326992 53121376 54932332 62779808 86322236 92962408 98653984 109864664 151063913 172644472 185924816 219729328 302127826 345288944 371849632 439458656 604255652 690577888 1208511304 2417022608 4834045216