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4368152464 = 24132312412
BaseRepresentation
bin1000001000101110…
…01011011110010000
3102021102110010200121
410010113023132100
532421221334324
62001240400024
7213150453244
oct40427133620
912242403617
104368152464
111941787665
12a1aa76014
13547c92100
142d61c8424
151a87475e4
hex1045cb790

4368152464 has 135 divisors (see below), whose sum is σ = 9706156947. Its totient is φ = 1903449600.

The previous prime is 4368152461. The next prime is 4368152471. The reversal of 4368152464 is 4642518634.

The square root of 4368152464 is 66092.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2909523600 + 1458628864 = 53940^2 + 38192^2 .

It is a super-3 number, since 3×43681524643 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4368152464.

It is not an unprimeable number, because it can be changed into a prime (4368152461) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106540284 + ... + 106540324.

Almost surely, 24368152464 is an apocalyptic number.

4368152464 is the 66092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4368152464

4368152464 is an abundant number, since it is smaller than the sum of its proper divisors (5338004483).

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

4368152464 is a wasteful number, since it uses less digits than its factorization.

4368152464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 87 counting only the distinct ones).

The product of its digits is 552960, while the sum is 43.

The cubic root of 4368152464 is about 1634.6794240354.

The spelling of 4368152464 in words is "four billion, three hundred sixty-eight million, one hundred fifty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 31 41 52 62 82 104 124 164 169 208 248 328 338 403 496 533 656 676 806 961 1066 1271 1352 1612 1681 1922 2132 2542 2704 3224 3362 3844 4264 5084 5239 6448 6724 6929 7688 8528 10168 10478 12493 13448 13858 15376 16523 20336 20956 21853 24986 26896 27716 33046 39401 41912 43706 49972 52111 55432 66092 78802 83824 87412 99944 104222 110864 132184 157604 162409 174824 199888 208444 214799 264368 284089 315208 324818 349648 416888 429598 512213 568178 630416 649636 677443 833776 859196 1024426 1136356 1299272 1354886 1615441 1718392 2048852 2272712 2598544 2709772 3230882 3436784 4097704 4545424 5419544 6461764 6658769 8195408 8806759 10839088 12923528 13317538 17613518 21000733 25847056 26635076 35227036 42001466 53270152 70454072 84002932 106540304 140908144 168005864 273009529 336011728 546019058 1092038116 2184076232 4368152464