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5251648408320 = 28351367616773
BaseRepresentation
bin100110001101011111010…
…1000110100101100000000
3200121001102101222210122110
41030122332220310230000
51142020333443031240
615100323551135320
71051263512640066
oct114327650645400
920531371883573
105251648408320
111745236686336
1270997a514540
132c12c78079a2
14142277090036
159191a0ecc80
hex4c6bea34b00

5251648408320 has 72 divisors (see below), whose sum is σ = 16772452116336. Its totient is φ = 1400439574528.

The previous prime is 5251648408297. The next prime is 5251648408327. The reversal of 5251648408320 is 238048461525.

It is a super-2 number, since 2×52516484083202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5251648408320.

It is not an unprimeable number, because it can be changed into a prime (5251648408327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 683804547 + ... + 683812226.

It is an arithmetic number, because the mean of its divisors is an integer number (232950723838).

Almost surely, 25251648408320 is an apocalyptic number.

It is an amenable number.

5251648408320 is an abundant number, since it is smaller than the sum of its proper divisors (11520803708016).

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

5251648408320 is a wasteful number, since it uses less digits than its factorization.

5251648408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367616797 (or 1367616783 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 5251648408320 in words is "five trillion, two hundred fifty-one billion, six hundred forty-eight million, four hundred eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 1367616773 2735233546 4102850319 5470467092 6838083865 8205700638 10940934184 13676167730 16411401276 20514251595 21881868368 27352335460 32822802552 41028503190 43763736736 54704670920 65645605104 82057006380 87527473472 109409341840 131291210208 164114012760 175054946944 218818683680 262582420416 328228025520 350109893888 437637367360 525164840832 656456051040 875274734720 1050329681664 1312912102080 1750549469440 2625824204160 5251648408320