Search a number
-
+
215800330740736 = 21072655812
BaseRepresentation
bin110001000100010011101110…
…000011100110010000000000
31001022002022101002110112210111
4301010103232003212100000
5211241133034132200421
62042545145304241104
763312026240541100
oct6104235603462000
91038068332415714
10215800330740736
1162840451888a75
1220253672170194
139354b64b29cb1
143b40b12757200
1519e36dda77ee1
hexc444ee0e6400

215800330740736 has 99 divisors (see below), whose sum is σ = 501828578192097. Its totient is φ = 92484445777920.

The previous prime is 215800330740697. The next prime is 215800330740751. The reversal of 215800330740736 is 637047033008512.

The square root of 215800330740736 is 14690144.

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

It can be written as a sum of positive squares in only one way, i.e., 5499287643136 + 210301043097600 = 2345056^2 + 14501760^2 .

It is a super-2 number, since 2×2158003307407362 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 215800330740736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3290559466 + ... + 3290625046.

Almost surely, 2215800330740736 is an apocalyptic number.

215800330740736 is the 14690144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215800330740736

215800330740736 is an abundant number, since it is smaller than the sum of its proper divisors (286028247451361).

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

215800330740736 is an frugal number, since it uses more digits than its factorization.

215800330740736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131196 (or 65590 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

215800330740736 divided by its sum of digits (49) gives a square (4404088382464 = 20985922).

The spelling of 215800330740736 in words is "two hundred fifteen trillion, eight hundred billion, three hundred thirty million, seven hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 3136 3584 6272 7168 12544 25088 50176 65581 131162 262324 459067 524648 918134 1049296 1836268 2098592 3213469 3672536 4197184 6426938 7345072 8394368 12853876 14690144 16788736 25707752 29380288 33577472 51415504 58760576 67154944 102831008 117521152 205662016 235042304 411324032 470084608 822648064 1645296128 3290592256 4300867561 8601735122 17203470244 30106072927 34406940488 60212145854 68813880976 120424291708 137627761952 210742510489 240848583416 275255523904 421485020978 481697166832 550511047808 842970041956 963394333664 1101022095616 1685940083912 1926788667328 2202044191232 3371880167824 3853577334656 4404088382464 6743760335648 7707154669312 13487520671296 15414309338624 26975041342592 30828618677248 53950082685184 107900165370368 215800330740736